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Finding the Fourth Proportional to 487.82, 731.16 and 270.96

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Solution

The fourth proportional to 487.82, 731.16 and 270.96 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.82 : 731.16 = 270.96 : x
  2. Step 2: Convert to fraction form
    487.82/731.16 = 270.96/x
  3. Step 3: Cross multiply
    487.82x = 731.16 × 270.96
  4. Step 4: Simplify right side
    487.82x = 198,115.11
  5. Step 5: Solve for x
    x = 198,115.11/487.82
  6. Step 6: Final answer
    x = 406.13

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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.