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Finding the Fourth Proportional to 521.24, 781.24 and 212.74

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Solution

The fourth proportional to 521.24, 781.24 and 212.74 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 781.24 = 212.74 : x
  2. Step 2: Convert to fraction form
    521.24/781.24 = 212.74/x
  3. Step 3: Cross multiply
    521.24x = 781.24 × 212.74
  4. Step 4: Simplify right side
    521.24x = 166,197.09
  5. Step 5: Solve for x
    x = 166,197.09/521.24
  6. Step 6: Final answer
    x = 318.85

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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.