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Finding the Fourth Proportional to 414.16, 571.40 and 239.41

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Solution

The fourth proportional to 414.16, 571.40 and 239.41 is: 330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 571.40 = 239.41 : x
  2. Step 2: Convert to fraction form
    414.16/571.40 = 239.41/x
  3. Step 3: Cross multiply
    414.16x = 571.40 × 239.41
  4. Step 4: Simplify right side
    414.16x = 136,797.68
  5. Step 5: Solve for x
    x = 136,797.68/414.16
  6. Step 6: Final answer
    x = 330.30

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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.