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Finding the Fourth Proportional to 487.67, 731.28 and 213.69

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Solution

The fourth proportional to 487.67, 731.28 and 213.69 is: 320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.67 : 731.28 = 213.69 : x
  2. Step 2: Convert to fraction form
    487.67/731.28 = 213.69/x
  3. Step 3: Cross multiply
    487.67x = 731.28 × 213.69
  4. Step 4: Simplify right side
    487.67x = 156,265.45
  5. Step 5: Solve for x
    x = 156,265.45/487.67
  6. Step 6: Final answer
    x = 320.43

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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.