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Finding the Fourth Proportional to 414.14, 571.47 and 239.45

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Solution

The fourth proportional to 414.14, 571.47 and 239.45 is: 330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 571.47 = 239.45 : x
  2. Step 2: Convert to fraction form
    414.14/571.47 = 239.45/x
  3. Step 3: Cross multiply
    414.14x = 571.47 × 239.45
  4. Step 4: Simplify right side
    414.14x = 136,838.49
  5. Step 5: Solve for x
    x = 136,838.49/414.14
  6. Step 6: Final answer
    x = 330.42

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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.