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Finding the Fourth Proportional to 487.20, 731.10 and 213.42

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Solution

The fourth proportional to 487.20, 731.10 and 213.42 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.20 : 731.10 = 213.42 : x
  2. Step 2: Convert to fraction form
    487.20/731.10 = 213.42/x
  3. Step 3: Cross multiply
    487.20x = 731.10 × 213.42
  4. Step 4: Simplify right side
    487.20x = 156,031.36
  5. Step 5: Solve for x
    x = 156,031.36/487.20
  6. Step 6: Final answer
    x = 320.26

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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.