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Finding the Fourth Proportional to 658.66, 987.24 and 225.46

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Solution

The fourth proportional to 658.66, 987.24 and 225.46 is: 337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.66 : 987.24 = 225.46 : x
  2. Step 2: Convert to fraction form
    658.66/987.24 = 225.46/x
  3. Step 3: Cross multiply
    658.66x = 987.24 × 225.46
  4. Step 4: Simplify right side
    658.66x = 222,583.13
  5. Step 5: Solve for x
    x = 222,583.13/658.66
  6. Step 6: Final answer
    x = 337.93

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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.