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Finding the Fourth Proportional to 409.27, 611.66 and 331.42

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Solution

The fourth proportional to 409.27, 611.66 and 331.42 is: 495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.27 : 611.66 = 331.42 : x
  2. Step 2: Convert to fraction form
    409.27/611.66 = 331.42/x
  3. Step 3: Cross multiply
    409.27x = 611.66 × 331.42
  4. Step 4: Simplify right side
    409.27x = 202,716.36
  5. Step 5: Solve for x
    x = 202,716.36/409.27
  6. Step 6: Final answer
    x = 495.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.