3 Handed 44 on button

[Lmn55d]

Hey, not sure what is best way to play this hand. In this qualifer, 1st qualfies for MTT, 2nd gets entry back. I am pretty sure that my 3BB raise is no good...I was thinking at the time that I could get away from an allin reraise, but after it happened and I calculated some odds I pretty much had to call it (very likely he has 2 overcards and I was slightly ahead). So my main quesiton is whether I should have pushed initially with the 44 (maximizing folding equity), or just dumped it. What do you guys think? Cant get hand converter to work w/ it so here is pure HH:

***** Hand History for Game 1229509367 *****
NL Hold'em $24 Buy-in + $2 Entry Fee Trny:7479222 Level:6 Blinds(150/300) - Saturday, November 27, 13:59:53 EDT 2004
Table Quarter Million Qualifier #279635 (Real Money)
Seat 1 is the button
Total number of players : 3
Seat 1: HarryHood ( $2400 )
Seat 3: balvord ( $3852 )
Seat 6: gobbles ( $1748 )
Trny:7479222 Level:6
Blinds(150/300)
** Dealing down cards **
Dealt to HarryHood [ 4d 4c ]
HarryHood raises [900].
balvord is all-In.
gobbles folds.
HarryHood is all-In.
** Dealing Flop ** [ 9h, Tc, 5s ]
** Dealing Turn ** [ 3d ]
** Dealing River ** [ Ad ]
HarryHood shows [ 4d, 4c ] a pair of fours.
balvord shows [ Td, Ac ] two pairs, aces and tens.
HarryHood finished in third place.
balvord wins 1452 chips from side pot #1 with two pairs, aces and tens.
balvord wins 5100 chips from the main pot with two pairs, aces and tens.
HarryHood has left the table.

[betgo]

Just push. There is about an 8% chance one of the players to your left has a higher pair and less chance you will be called by a higher pair.

AT would probably have called you, but you have the advantage and pot odds. There is nothing you can do about this kind of loss, unless you wnat to play weak/tight and get blinded out.

[Virox]

I have two rules I almost always follow:

1. If I have more than 1/3 of my stack in the pot preflop, I never fold to a raise.

2. If I have a small pocket pair and will call a reraise preflop I go all-in directly.

[Myst]

Easy Push.