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Finding the Fourth Proportional to 487.82, 731.49 and 213.79

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Solution

The fourth proportional to 487.82, 731.49 and 213.79 is: 320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.82 : 731.49 = 213.79 : x
  2. Step 2: Convert to fraction form
    487.82/731.49 = 213.79/x
  3. Step 3: Cross multiply
    487.82x = 731.49 × 213.79
  4. Step 4: Simplify right side
    487.82x = 156,385.25
  5. Step 5: Solve for x
    x = 156,385.25/487.82
  6. Step 6: Final answer
    x = 320.58

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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.