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Finding the Fourth Proportional to 409.26, 614.16 and 391.62

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Solution

The fourth proportional to 409.26, 614.16 and 391.62 is: 587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.26 : 614.16 = 391.62 : x
  2. Step 2: Convert to fraction form
    409.26/614.16 = 391.62/x
  3. Step 3: Cross multiply
    409.26x = 614.16 × 391.62
  4. Step 4: Simplify right side
    409.26x = 240,517.34
  5. Step 5: Solve for x
    x = 240,517.34/409.26
  6. Step 6: Final answer
    x = 587.69

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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.