An independent personal representative may, without court direction, authorization or approval, make any determination, finding, authorization, allowance, conveyance, payment, partition or delivery, or do any other act which the court could direct, authorize, make or do under sections 474.250, 474.260, 474.280 and 474.290, except that he may not, without court authorization, set the family allowance at more than a lump sum of six thousand dollars or periodic installments in excess of five hundred dollars per month for one year. The independent personal representative, or any person aggrieved by any determination, finding, authorization, allowance, conveyance, payment, partition, delivery or other act, or by failure to act, under this section, may petition the court for appropriate relief, which relief may provide a family allowance larger or smaller than that which the independent personal representative determined or could have determined.