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Finding the Fourth Proportional to 327.45, 490.68 and 219.05

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Solution

The fourth proportional to 327.45, 490.68 and 219.05 is: 328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.45 : 490.68 = 219.05 : x
  2. Step 2: Convert to fraction form
    327.45/490.68 = 219.05/x
  3. Step 3: Cross multiply
    327.45x = 490.68 × 219.05
  4. Step 4: Simplify right side
    327.45x = 107,481.00
  5. Step 5: Solve for x
    x = 107,481.00/327.45
  6. Step 6: Final answer
    x = 328.24

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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.