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Finding the Fourth Proportional to 329.69, 494.44 and 98.56

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Solution

The fourth proportional to 329.69, 494.44 and 98.56 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 494.44 = 98.56 : x
  2. Step 2: Convert to fraction form
    329.69/494.44 = 98.56/x
  3. Step 3: Cross multiply
    329.69x = 494.44 × 98.56
  4. Step 4: Simplify right side
    329.69x = 48,729.04
  5. Step 5: Solve for x
    x = 48,729.04/329.69
  6. Step 6: Final answer
    x = 147.80

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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.