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Finding the Fourth Proportional to 447.69, 617.85 and 251.21

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Solution

The fourth proportional to 447.69, 617.85 and 251.21 is: 346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.69 : 617.85 = 251.21 : x
  2. Step 2: Convert to fraction form
    447.69/617.85 = 251.21/x
  3. Step 3: Cross multiply
    447.69x = 617.85 × 251.21
  4. Step 4: Simplify right side
    447.69x = 155,207.01
  5. Step 5: Solve for x
    x = 155,207.01/447.69
  6. Step 6: Final answer
    x = 346.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.