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Finding the Fourth Proportional to 325.90, 449.76 and 238.96

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Solution

The fourth proportional to 325.90, 449.76 and 238.96 is: 329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.90 : 449.76 = 238.96 : x
  2. Step 2: Convert to fraction form
    325.90/449.76 = 238.96/x
  3. Step 3: Cross multiply
    325.90x = 449.76 × 238.96
  4. Step 4: Simplify right side
    325.90x = 107,474.65
  5. Step 5: Solve for x
    x = 107,474.65/325.90
  6. Step 6: Final answer
    x = 329.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.