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Finding the Fourth Proportional to 532.72, 798 and 484.24

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Solution

The fourth proportional to 532.72, 798 and 484.24 is: 725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.72 : 798 = 484.24 : x
  2. Step 2: Convert to fraction form
    532.72/798 = 484.24/x
  3. Step 3: Cross multiply
    532.72x = 798 × 484.24
  4. Step 4: Simplify right side
    532.72x = 386,423.52
  5. Step 5: Solve for x
    x = 386,423.52/532.72
  6. Step 6: Final answer
    x = 725.38

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