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Finding the Fourth Proportional to 576.24, 863.28 and 413.16

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Solution

The fourth proportional to 576.24, 863.28 and 413.16 is: 618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.24 : 863.28 = 413.16 : x
  2. Step 2: Convert to fraction form
    576.24/863.28 = 413.16/x
  3. Step 3: Cross multiply
    576.24x = 863.28 × 413.16
  4. Step 4: Simplify right side
    576.24x = 356,672.76
  5. Step 5: Solve for x
    x = 356,672.76/576.24
  6. Step 6: Final answer
    x = 618.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.