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Finding the Fourth Proportional to 520.47, 781.52 and 497.39

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Solution

The fourth proportional to 520.47, 781.52 and 497.39 is: 746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.47 : 781.52 = 497.39 : x
  2. Step 2: Convert to fraction form
    520.47/781.52 = 497.39/x
  3. Step 3: Cross multiply
    520.47x = 781.52 × 497.39
  4. Step 4: Simplify right side
    520.47x = 388,713.84
  5. Step 5: Solve for x
    x = 388,713.84/520.47
  6. Step 6: Final answer
    x = 746.85

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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.