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Finding the Fourth Proportional to 486.97, 731.25 and 462.31

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Solution

The fourth proportional to 486.97, 731.25 and 462.31 is: 694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.97 : 731.25 = 462.31 : x
  2. Step 2: Convert to fraction form
    486.97/731.25 = 462.31/x
  3. Step 3: Cross multiply
    486.97x = 731.25 × 462.31
  4. Step 4: Simplify right side
    486.97x = 338,064.19
  5. Step 5: Solve for x
    x = 338,064.19/486.97
  6. Step 6: Final answer
    x = 694.22

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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.