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Finding the Fourth Proportional to 329.24, 494.09 and 226.62

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Solution

The fourth proportional to 329.24, 494.09 and 226.62 is: 340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.24 : 494.09 = 226.62 : x
  2. Step 2: Convert to fraction form
    329.24/494.09 = 226.62/x
  3. Step 3: Cross multiply
    329.24x = 494.09 × 226.62
  4. Step 4: Simplify right side
    329.24x = 111,970.39
  5. Step 5: Solve for x
    x = 111,970.39/329.24
  6. Step 6: Final answer
    x = 340.08

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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.