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Finding the Fourth Proportional to 414.06, 571.37 and 239.37

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Solution

The fourth proportional to 414.06, 571.37 and 239.37 is: 330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 571.37 = 239.37 : x
  2. Step 2: Convert to fraction form
    414.06/571.37 = 239.37/x
  3. Step 3: Cross multiply
    414.06x = 571.37 × 239.37
  4. Step 4: Simplify right side
    414.06x = 136,767.64
  5. Step 5: Solve for x
    x = 136,767.64/414.06
  6. Step 6: Final answer
    x = 330.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.