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Finding the Fourth Proportional to 426.97, 640.00 and 381.41

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Solution

The fourth proportional to 426.97, 640.00 and 381.41 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.97 : 640.00 = 381.41 : x
  2. Step 2: Convert to fraction form
    426.97/640.00 = 381.41/x
  3. Step 3: Cross multiply
    426.97x = 640.00 × 381.41
  4. Step 4: Simplify right side
    426.97x = 244,102.08
  5. Step 5: Solve for x
    x = 244,102.08/426.97
  6. Step 6: Final answer
    x = 571.71

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Why These Related Problems?

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