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Finding the Fourth Proportional to 671.52, 927.13 and 461.63

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Solution

The fourth proportional to 671.52, 927.13 and 461.63 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.52 : 927.13 = 461.63 : x
  2. Step 2: Convert to fraction form
    671.52/927.13 = 461.63/x
  3. Step 3: Cross multiply
    671.52x = 927.13 × 461.63
  4. Step 4: Simplify right side
    671.52x = 427,993.05
  5. Step 5: Solve for x
    x = 427,993.05/671.52
  6. Step 6: Final answer
    x = 637.35

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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.