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Finding the Fourth Proportional to 349.20, 481.80 and 232.56

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Solution

The fourth proportional to 349.20, 481.80 and 232.56 is: 320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.20 : 481.80 = 232.56 : x
  2. Step 2: Convert to fraction form
    349.20/481.80 = 232.56/x
  3. Step 3: Cross multiply
    349.20x = 481.80 × 232.56
  4. Step 4: Simplify right side
    349.20x = 112,047.41
  5. Step 5: Solve for x
    x = 112,047.41/349.20
  6. Step 6: Final answer
    x = 320.87

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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.