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Finding the Fourth Proportional to 414.46, 571.35 and 289.74

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Solution

The fourth proportional to 414.46, 571.35 and 289.74 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.46 : 571.35 = 289.74 : x
  2. Step 2: Convert to fraction form
    414.46/571.35 = 289.74/x
  3. Step 3: Cross multiply
    414.46x = 571.35 × 289.74
  4. Step 4: Simplify right side
    414.46x = 165,540.82
  5. Step 5: Solve for x
    x = 165,540.82/414.46
  6. Step 6: Final answer
    x = 399.41

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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.