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Finding the Fourth Proportional to 447.28, 615.83 and 406.27

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Solution

The fourth proportional to 447.28, 615.83 and 406.27 is: 559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.28 : 615.83 = 406.27 : x
  2. Step 2: Convert to fraction form
    447.28/615.83 = 406.27/x
  3. Step 3: Cross multiply
    447.28x = 615.83 × 406.27
  4. Step 4: Simplify right side
    447.28x = 250,192.73
  5. Step 5: Solve for x
    x = 250,192.73/447.28
  6. Step 6: Final answer
    x = 559.37

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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.