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Finding the Fourth Proportional to 671.13, 925.42 and 461.41

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Solution

The fourth proportional to 671.13, 925.42 and 461.41 is: 636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.13 : 925.42 = 461.41 : x
  2. Step 2: Convert to fraction form
    671.13/925.42 = 461.41/x
  3. Step 3: Cross multiply
    671.13x = 925.42 × 461.41
  4. Step 4: Simplify right side
    671.13x = 426,998.04
  5. Step 5: Solve for x
    x = 426,998.04/671.13
  6. Step 6: Final answer
    x = 636.24

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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.