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Finding the Fourth Proportional to 439.74, 655.74 and 408.96

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Solution

The fourth proportional to 439.74, 655.74 and 408.96 is: 609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.74 : 655.74 = 408.96 : x
  2. Step 2: Convert to fraction form
    439.74/655.74 = 408.96/x
  3. Step 3: Cross multiply
    439.74x = 655.74 × 408.96
  4. Step 4: Simplify right side
    439.74x = 268,171.43
  5. Step 5: Solve for x
    x = 268,171.43/439.74
  6. Step 6: Final answer
    x = 609.84

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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.