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Finding the Fourth Proportional to 414.14, 571.20 and 289.76

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Solution

The fourth proportional to 414.14, 571.20 and 289.76 is: 399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 571.20 = 289.76 : x
  2. Step 2: Convert to fraction form
    414.14/571.20 = 289.76/x
  3. Step 3: Cross multiply
    414.14x = 571.20 × 289.76
  4. Step 4: Simplify right side
    414.14x = 165,510.91
  5. Step 5: Solve for x
    x = 165,510.91/414.14
  6. Step 6: Final answer
    x = 399.65

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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.