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Finding the Fourth Proportional to 532.20, 732.90 and 517.48

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Solution

The fourth proportional to 532.20, 732.90 and 517.48 is: 712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.20 : 732.90 = 517.48 : x
  2. Step 2: Convert to fraction form
    532.20/732.90 = 517.48/x
  3. Step 3: Cross multiply
    532.20x = 732.90 × 517.48
  4. Step 4: Simplify right side
    532.20x = 379,261.09
  5. Step 5: Solve for x
    x = 379,261.09/532.20
  6. Step 6: Final answer
    x = 712.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.