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Finding the Fourth Proportional to 447.26, 615.21 and 381.65

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Solution

The fourth proportional to 447.26, 615.21 and 381.65 is: 524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.26 : 615.21 = 381.65 : x
  2. Step 2: Convert to fraction form
    447.26/615.21 = 381.65/x
  3. Step 3: Cross multiply
    447.26x = 615.21 × 381.65
  4. Step 4: Simplify right side
    447.26x = 234,794.90
  5. Step 5: Solve for x
    x = 234,794.90/447.26
  6. Step 6: Final answer
    x = 524.96

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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.