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Finding the Fourth Proportional to 447.14, 617.42 and 380.09

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Solution

The fourth proportional to 447.14, 617.42 and 380.09 is: 524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.14 : 617.42 = 380.09 : x
  2. Step 2: Convert to fraction form
    447.14/617.42 = 380.09/x
  3. Step 3: Cross multiply
    447.14x = 617.42 × 380.09
  4. Step 4: Simplify right side
    447.14x = 234,677.66
  5. Step 5: Solve for x
    x = 234,677.66/447.14
  6. Step 6: Final answer
    x = 524.84

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Why These Related Problems?

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