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Finding the Fourth Proportional to 463.31, 639.44 and 297.71

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Solution

The fourth proportional to 463.31, 639.44 and 297.71 is: 410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.31 : 639.44 = 297.71 : x
  2. Step 2: Convert to fraction form
    463.31/639.44 = 297.71/x
  3. Step 3: Cross multiply
    463.31x = 639.44 × 297.71
  4. Step 4: Simplify right side
    463.31x = 190,363.00
  5. Step 5: Solve for x
    x = 190,363.00/463.31
  6. Step 6: Final answer
    x = 410.88

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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.