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Finding the Fourth Proportional to 671.31, 925.53 and 461.12

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Solution

The fourth proportional to 671.31, 925.53 and 461.12 is: 635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.31 : 925.53 = 461.12 : x
  2. Step 2: Convert to fraction form
    671.31/925.53 = 461.12/x
  3. Step 3: Cross multiply
    671.31x = 925.53 × 461.12
  4. Step 4: Simplify right side
    671.31x = 426,775.77
  5. Step 5: Solve for x
    x = 426,775.77/671.31
  6. Step 6: Final answer
    x = 635.74

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