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Finding the Fourth Proportional to 640.14, 883.70 and 404.43

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Solution

The fourth proportional to 640.14, 883.70 and 404.43 is: 558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.14 : 883.70 = 404.43 : x
  2. Step 2: Convert to fraction form
    640.14/883.70 = 404.43/x
  3. Step 3: Cross multiply
    640.14x = 883.70 × 404.43
  4. Step 4: Simplify right side
    640.14x = 357,394.79
  5. Step 5: Solve for x
    x = 357,394.79/640.14
  6. Step 6: Final answer
    x = 558.31

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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.