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Finding the Fourth Proportional to 616.43, 925.32 and 411.44

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Solution

The fourth proportional to 616.43, 925.32 and 411.44 is: 617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.43 : 925.32 = 411.44 : x
  2. Step 2: Convert to fraction form
    616.43/925.32 = 411.44/x
  3. Step 3: Cross multiply
    616.43x = 925.32 × 411.44
  4. Step 4: Simplify right side
    616.43x = 380,709.03
  5. Step 5: Solve for x
    x = 380,709.03/616.43
  6. Step 6: Final answer
    x = 617.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.