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Finding the Fourth Proportional to 610.38, 911.13 and 565.26

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Solution

The fourth proportional to 610.38, 911.13 and 565.26 is: 843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.38 : 911.13 = 565.26 : x
  2. Step 2: Convert to fraction form
    610.38/911.13 = 565.26/x
  3. Step 3: Cross multiply
    610.38x = 911.13 × 565.26
  4. Step 4: Simplify right side
    610.38x = 515,025.34
  5. Step 5: Solve for x
    x = 515,025.34/610.38
  6. Step 6: Final answer
    x = 843.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.