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Finding the Fourth Proportional to 671.42, 927.32 and 422.96

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Solution

The fourth proportional to 671.42, 927.32 and 422.96 is: 584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 927.32 = 422.96 : x
  2. Step 2: Convert to fraction form
    671.42/927.32 = 422.96/x
  3. Step 3: Cross multiply
    671.42x = 927.32 × 422.96
  4. Step 4: Simplify right side
    671.42x = 392,212.52
  5. Step 5: Solve for x
    x = 392,212.52/671.42
  6. Step 6: Final answer
    x = 584.15

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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.