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Finding the Fourth Proportional to 671.76, 927.18 and 461.97

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Solution

The fourth proportional to 671.76, 927.18 and 461.97 is: 637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.76 : 927.18 = 461.97 : x
  2. Step 2: Convert to fraction form
    671.76/927.18 = 461.97/x
  3. Step 3: Cross multiply
    671.76x = 927.18 × 461.97
  4. Step 4: Simplify right side
    671.76x = 428,329.34
  5. Step 5: Solve for x
    x = 428,329.34/671.76
  6. Step 6: Final answer
    x = 637.62

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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.