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P0172= fuel trim adaptation upper limit. It means that the computer keeps adding to the time that it keeps the injectors open in response to a lean signal from the O2 sensor, it is trying to fatten it up. Most likely cause is a vacuum leak but other things like a faulty O2 sensor or a bad MAF could cause it as well.
P0300= Multiple missfires, more than one cylinder. Just what is says, the ecu has detected misfires in more than one cylinder. Could be related to your P0172 (vacuum leak causing a lean miss) or could be an unrelated stand alone problem like a bad cap, rotor, wires, or plugs.
P0303=Misfire cylinder 3, more of the same but now you know it is in the #3 hole.
P0410= Secondary Air Injection system malfunction. Valves and pumps go out on this stuff all of the time and there is more than enough info on the board here for you to do a search and fix it. Could be as simple as a loose vacuum line that is also the cause of your P0172 code, wouldn't that be cool huh?
Address your misfire condition first and then your fuel trim code and finally the air injection.
Mark
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