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Finding the Fourth Proportional to 521.38, 781.49 and 247.06

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Solution

The fourth proportional to 521.38, 781.49 and 247.06 is: 370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.38 : 781.49 = 247.06 : x
  2. Step 2: Convert to fraction form
    521.38/781.49 = 247.06/x
  3. Step 3: Cross multiply
    521.38x = 781.49 × 247.06
  4. Step 4: Simplify right side
    521.38x = 193,073.58
  5. Step 5: Solve for x
    x = 193,073.58/521.38
  6. Step 6: Final answer
    x = 370.31

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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.