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Finding the Fourth Proportional to 329.11, 450.94 and 324.78

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Solution

The fourth proportional to 329.11, 450.94 and 324.78 is: 445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.11 : 450.94 = 324.78 : x
  2. Step 2: Convert to fraction form
    329.11/450.94 = 324.78/x
  3. Step 3: Cross multiply
    329.11x = 450.94 × 324.78
  4. Step 4: Simplify right side
    329.11x = 146,456.29
  5. Step 5: Solve for x
    x = 146,456.29/329.11
  6. Step 6: Final answer
    x = 445.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.