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Finding the Fourth Proportional to 610.38, 914.42 and 301.87

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Solution

The fourth proportional to 610.38, 914.42 and 301.87 is: 452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.38 : 914.42 = 301.87 : x
  2. Step 2: Convert to fraction form
    610.38/914.42 = 301.87/x
  3. Step 3: Cross multiply
    610.38x = 914.42 × 301.87
  4. Step 4: Simplify right side
    610.38x = 276,035.97
  5. Step 5: Solve for x
    x = 276,035.97/610.38
  6. Step 6: Final answer
    x = 452.24

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