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Finding the Fourth Proportional to 327.80, 491.70 and 223.85

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Solution

The fourth proportional to 327.80, 491.70 and 223.85 is: 335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 491.70 = 223.85 : x
  2. Step 2: Convert to fraction form
    327.80/491.70 = 223.85/x
  3. Step 3: Cross multiply
    327.80x = 491.70 × 223.85
  4. Step 4: Simplify right side
    327.80x = 110,067.05
  5. Step 5: Solve for x
    x = 110,067.05/327.80
  6. Step 6: Final answer
    x = 335.78

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