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Finding the Fourth Proportional to 487.49, 731.42 and 213.62

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Solution

The fourth proportional to 487.49, 731.42 and 213.62 is: 320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.49 : 731.42 = 213.62 : x
  2. Step 2: Convert to fraction form
    487.49/731.42 = 213.62/x
  3. Step 3: Cross multiply
    487.49x = 731.42 × 213.62
  4. Step 4: Simplify right side
    487.49x = 156,245.94
  5. Step 5: Solve for x
    x = 156,245.94/487.49
  6. Step 6: Final answer
    x = 320.51

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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.