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Finding the Fourth Proportional to 640.38, 958.39 and 409.43

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Solution

The fourth proportional to 640.38, 958.39 and 409.43 is: 612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.38 : 958.39 = 409.43 : x
  2. Step 2: Convert to fraction form
    640.38/958.39 = 409.43/x
  3. Step 3: Cross multiply
    640.38x = 958.39 × 409.43
  4. Step 4: Simplify right side
    640.38x = 392,387.80
  5. Step 5: Solve for x
    x = 392,387.80/640.38
  6. Step 6: Final answer
    x = 612.75

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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.