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Finding the Fourth Proportional to 610.27, 914.10 and 263.15

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Solution

The fourth proportional to 610.27, 914.10 and 263.15 is: 394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.27 : 914.10 = 263.15 : x
  2. Step 2: Convert to fraction form
    610.27/914.10 = 263.15/x
  3. Step 3: Cross multiply
    610.27x = 914.10 × 263.15
  4. Step 4: Simplify right side
    610.27x = 240,545.42
  5. Step 5: Solve for x
    x = 240,545.42/610.27
  6. Step 6: Final answer
    x = 394.16

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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.