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Finding the Fourth Proportional to 416.43, 574.59 and 239.38

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Solution

The fourth proportional to 416.43, 574.59 and 239.38 is: 330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.43 : 574.59 = 239.38 : x
  2. Step 2: Convert to fraction form
    416.43/574.59 = 239.38/x
  3. Step 3: Cross multiply
    416.43x = 574.59 × 239.38
  4. Step 4: Simplify right side
    416.43x = 137,542.48
  5. Step 5: Solve for x
    x = 137,542.48/416.43
  6. Step 6: Final answer
    x = 330.29

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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.