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Finding the Fourth Proportional to 329.66, 494.54 and 98.56

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Solution

The fourth proportional to 329.66, 494.54 and 98.56 is: 147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.66 : 494.54 = 98.56 : x
  2. Step 2: Convert to fraction form
    329.66/494.54 = 98.56/x
  3. Step 3: Cross multiply
    329.66x = 494.54 × 98.56
  4. Step 4: Simplify right side
    329.66x = 48,741.86
  5. Step 5: Solve for x
    x = 48,741.86/329.66
  6. Step 6: Final answer
    x = 147.85

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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.