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Finding the Fourth Proportional to 521.24, 781.11 and 212.76

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Solution

The fourth proportional to 521.24, 781.11 and 212.76 is: 318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 781.11 = 212.76 : x
  2. Step 2: Convert to fraction form
    521.24/781.11 = 212.76/x
  3. Step 3: Cross multiply
    521.24x = 781.11 × 212.76
  4. Step 4: Simplify right side
    521.24x = 166,188.96
  5. Step 5: Solve for x
    x = 166,188.96/521.24
  6. Step 6: Final answer
    x = 318.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.