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Finding the Fourth Proportional to 447.44, 617.24 and 416.18

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Solution

The fourth proportional to 447.44, 617.24 and 416.18 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.44 : 617.24 = 416.18 : x
  2. Step 2: Convert to fraction form
    447.44/617.24 = 416.18/x
  3. Step 3: Cross multiply
    447.44x = 617.24 × 416.18
  4. Step 4: Simplify right side
    447.44x = 256,882.94
  5. Step 5: Solve for x
    x = 256,882.94/447.44
  6. Step 6: Final answer
    x = 574.12

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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.