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Finding the Fourth Proportional to 331.49, 495.37 and 323.80

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Solution

The fourth proportional to 331.49, 495.37 and 323.80 is: 483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.49 : 495.37 = 323.80 : x
  2. Step 2: Convert to fraction form
    331.49/495.37 = 323.80/x
  3. Step 3: Cross multiply
    331.49x = 495.37 × 323.80
  4. Step 4: Simplify right side
    331.49x = 160,398.15
  5. Step 5: Solve for x
    x = 160,398.15/331.49
  6. Step 6: Final answer
    x = 483.87

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Why These Related Problems?

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