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Finding the Fourth Proportional to 640.90, 884.14 and 404.68

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Solution

The fourth proportional to 640.90, 884.14 and 404.68 is: 558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.90 : 884.14 = 404.68 : x
  2. Step 2: Convert to fraction form
    640.90/884.14 = 404.68/x
  3. Step 3: Cross multiply
    640.90x = 884.14 × 404.68
  4. Step 4: Simplify right side
    640.90x = 357,793.78
  5. Step 5: Solve for x
    x = 357,793.78/640.90
  6. Step 6: Final answer
    x = 558.27

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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.