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Finding the Fourth Proportional to 416.95, 575.41 and 239.91

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Solution

The fourth proportional to 416.95, 575.41 and 239.91 is: 331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.95 : 575.41 = 239.91 : x
  2. Step 2: Convert to fraction form
    416.95/575.41 = 239.91/x
  3. Step 3: Cross multiply
    416.95x = 575.41 × 239.91
  4. Step 4: Simplify right side
    416.95x = 138,046.61
  5. Step 5: Solve for x
    x = 138,046.61/416.95
  6. Step 6: Final answer
    x = 331.09

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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.