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Finding the Fourth Proportional to 671.52, 925.74 and 474.96

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Solution

The fourth proportional to 671.52, 925.74 and 474.96 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.52 : 925.74 = 474.96 : x
  2. Step 2: Convert to fraction form
    671.52/925.74 = 474.96/x
  3. Step 3: Cross multiply
    671.52x = 925.74 × 474.96
  4. Step 4: Simplify right side
    671.52x = 439,689.47
  5. Step 5: Solve for x
    x = 439,689.47/671.52
  6. Step 6: Final answer
    x = 654.77

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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.