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Finding the Fourth Proportional to 610.92, 915.89 and 281.88

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Solution

The fourth proportional to 610.92, 915.89 and 281.88 is: 422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.92 : 915.89 = 281.88 : x
  2. Step 2: Convert to fraction form
    610.92/915.89 = 281.88/x
  3. Step 3: Cross multiply
    610.92x = 915.89 × 281.88
  4. Step 4: Simplify right side
    610.92x = 258,169.66
  5. Step 5: Solve for x
    x = 258,169.66/610.92
  6. Step 6: Final answer
    x = 422.59

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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.