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Finding the Fourth Proportional to 610.62, 915.96 and 225.78

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Solution

The fourth proportional to 610.62, 915.96 and 225.78 is: 338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.62 : 915.96 = 225.78 : x
  2. Step 2: Convert to fraction form
    610.62/915.96 = 225.78/x
  3. Step 3: Cross multiply
    610.62x = 915.96 × 225.78
  4. Step 4: Simplify right side
    610.62x = 206,805.45
  5. Step 5: Solve for x
    x = 206,805.45/610.62
  6. Step 6: Final answer
    x = 338.68

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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.