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Finding the Fourth Proportional to 521.52, 781.77 and 247.38

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Solution

The fourth proportional to 521.52, 781.77 and 247.38 is: 370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.52 : 781.77 = 247.38 : x
  2. Step 2: Convert to fraction form
    521.52/781.77 = 247.38/x
  3. Step 3: Cross multiply
    521.52x = 781.77 × 247.38
  4. Step 4: Simplify right side
    521.52x = 193,394.26
  5. Step 5: Solve for x
    x = 193,394.26/521.52
  6. Step 6: Final answer
    x = 370.83

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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.