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Finding the Fourth Proportional to 414.21, 571.17 and 289.83

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Solution

The fourth proportional to 414.21, 571.17 and 289.83 is: 399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.21 : 571.17 = 289.83 : x
  2. Step 2: Convert to fraction form
    414.21/571.17 = 289.83/x
  3. Step 3: Cross multiply
    414.21x = 571.17 × 289.83
  4. Step 4: Simplify right side
    414.21x = 165,542.20
  5. Step 5: Solve for x
    x = 165,542.20/414.21
  6. Step 6: Final answer
    x = 399.66

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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.