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Finding the Fourth Proportional to 416.01, 574.11 and 238.97

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Solution

The fourth proportional to 416.01, 574.11 and 238.97 is: 329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.01 : 574.11 = 238.97 : x
  2. Step 2: Convert to fraction form
    416.01/574.11 = 238.97/x
  3. Step 3: Cross multiply
    416.01x = 574.11 × 238.97
  4. Step 4: Simplify right side
    416.01x = 137,192.20
  5. Step 5: Solve for x
    x = 137,192.20/416.01
  6. Step 6: Final answer
    x = 329.78

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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.