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Finding the Fourth Proportional to 349.44, 523.20 and 327.79

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Solution

The fourth proportional to 349.44, 523.20 and 327.79 is: 490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.44 : 523.20 = 327.79 : x
  2. Step 2: Convert to fraction form
    349.44/523.20 = 327.79/x
  3. Step 3: Cross multiply
    349.44x = 523.20 × 327.79
  4. Step 4: Simplify right side
    349.44x = 171,499.73
  5. Step 5: Solve for x
    x = 171,499.73/349.44
  6. Step 6: Final answer
    x = 490.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.