What must be done to balance an airplane loaded with a front seat weight of 411 lb and a rear seat occupation of 100 lb?

To achieve proper weight and balance in an aircraft, it is crucial to ensure that the center of gravity (CG) remains within the specified limits for safe flight. The scenario describes an imbalance created by the front seat occupant weighing 411 pounds and a rear seat occupant weighing 100 pounds.

Adding a 100-pound weight to the baggage compartment is a valid method to help shift the CG rearwards, compensating for the significant weight of the front seat occupant. By placing more weight in the rear, you can bring the CG closer to its ideal positioning, thereby promoting safety and stability during flight.

The other options do not effectively address the need to balance the aircraft's weight distribution appropriately. For instance, filling the auxiliary wing tanks may add weight but does not specifically help in shifting the CG rearward. Similarly, transferring fuel from one tank to another might change weight but is not guaranteed to correct the imbalance. Removing front seat occupants would indeed alleviate some of the issue, but that might not always be practical or desired. Thus, adding weight to the baggage compartment is the most effective and practical solution in this scenario.