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Finding the Fourth Proportional to 640.92, 884.67 and 408.18

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Solution

The fourth proportional to 640.92, 884.67 and 408.18 is: 563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.92 : 884.67 = 408.18 : x
  2. Step 2: Convert to fraction form
    640.92/884.67 = 408.18/x
  3. Step 3: Cross multiply
    640.92x = 884.67 × 408.18
  4. Step 4: Simplify right side
    640.92x = 361,104.60
  5. Step 5: Solve for x
    x = 361,104.60/640.92
  6. Step 6: Final answer
    x = 563.42

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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.