Should i fire the 2nd barrel in this 3bet pot?

[recallme]

Villain is 26/22, i built my stack 2hours before and this was my 2nd orbit at this table. No history between us which is important.

Cryptologic
No Limit Holdem Ring game
Blinds: $10/$20
6 players
Converter

Stack sizes:
UTG: $5154.50
UTG+1: $1810
Hero: $4677
Button: $2650.50
SB: $2000
BB: $2000

Pre-flop: (6 players) Hero is CO with A[img]/images/graemlins/heart.gif[/img] J[img]/images/graemlins/spade.gif[/img]
UTG folds, <font color="#cc0000">UTG+1 raises to $70</font>, <font color="#cc0000">Hero raises to $240</font>, 3 folds, UTG+1 calls.

Flop: 3[img]/images/graemlins/spade.gif[/img] K[img]/images/graemlins/heart.gif[/img] T[img]/images/graemlins/diamond.gif[/img] ($510, 2 players)
UTG+1 checks, <font color="#cc0000">Hero bets $370</font>, UTG+1 calls.

Turn: 4[img]/images/graemlins/diamond.gif[/img] ($1250, 2 players)
UTG+1 checks,

Do you fire again or just let it go?