4- wheeler starts right up idles good,pput on throttle,back fires and dogs out till it quits,

 

try pulling the black wire from the rev limiter box. its usually located under the *hood* piece on the front of the motor.
try changing the spark plug. could be shorting out when under compresssion.
check all your grounds good.
give the carb a deep cleaning
change your fuel filter/and your fuel.

just a list to get you started. start wehre you want.

 

there is no black wire on the 330

 

do you know the settings on the carb, thanks