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Finding the Fourth Proportional to 461.97, 637.17 and 322.04

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Solution

The fourth proportional to 461.97, 637.17 and 322.04 is: 444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.97 : 637.17 = 322.04 : x
  2. Step 2: Convert to fraction form
    461.97/637.17 = 322.04/x
  3. Step 3: Cross multiply
    461.97x = 637.17 × 322.04
  4. Step 4: Simplify right side
    461.97x = 205,194.61
  5. Step 5: Solve for x
    x = 205,194.61/461.97
  6. Step 6: Final answer
    x = 444.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.