A particulate material metering system includes a controller configured to determine a radius of curvature of a path of a lead vehicle coupled to an agricultural implement. The controller is configured to determine a lead time of the lead vehicle relative to the agricultural implement based on a speed of the lead vehicle and/or the agricultural implement. The controller is configured to determine a radius of curvature of a path of the agricultural implement based on the radius of curvature of the path of the lead vehicle at a determination time, in which the determination time is a current time minus an offset time, and the offset time is based on the lead time. The controller is configured to determine target particulate material flow rates of respective metering devices of the particulate material metering system based on the radius of curvature of the path of the agricultural implement.