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Finding the Fourth Proportional to 329.64, 494.49 and 110.28

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Solution

The fourth proportional to 329.64, 494.49 and 110.28 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.64 : 494.49 = 110.28 : x
  2. Step 2: Convert to fraction form
    329.64/494.49 = 110.28/x
  3. Step 3: Cross multiply
    329.64x = 494.49 × 110.28
  4. Step 4: Simplify right side
    329.64x = 54,532.36
  5. Step 5: Solve for x
    x = 54,532.36/329.64
  6. Step 6: Final answer
    x = 165.43

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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.