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Finding the Fourth Proportional to 425.26, 637.89 and 232.78

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Solution

The fourth proportional to 425.26, 637.89 and 232.78 is: 349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.26 : 637.89 = 232.78 : x
  2. Step 2: Convert to fraction form
    425.26/637.89 = 232.78/x
  3. Step 3: Cross multiply
    425.26x = 637.89 × 232.78
  4. Step 4: Simplify right side
    425.26x = 148,488.03
  5. Step 5: Solve for x
    x = 148,488.03/425.26
  6. Step 6: Final answer
    x = 349.17

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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.