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Finding the Fourth Proportional to 414.78, 571.14 and 349.14

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Solution

The fourth proportional to 414.78, 571.14 and 349.14 is: 480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.78 : 571.14 = 349.14 : x
  2. Step 2: Convert to fraction form
    414.78/571.14 = 349.14/x
  3. Step 3: Cross multiply
    414.78x = 571.14 × 349.14
  4. Step 4: Simplify right side
    414.78x = 199,407.82
  5. Step 5: Solve for x
    x = 199,407.82/414.78
  6. Step 6: Final answer
    x = 480.76

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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.