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Finding the Fourth Proportional to 329.89, 494.78 and 86.43

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Solution

The fourth proportional to 329.89, 494.78 and 86.43 is: 129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.89 : 494.78 = 86.43 : x
  2. Step 2: Convert to fraction form
    329.89/494.78 = 86.43/x
  3. Step 3: Cross multiply
    329.89x = 494.78 × 86.43
  4. Step 4: Simplify right side
    329.89x = 42,763.84
  5. Step 5: Solve for x
    x = 42,763.84/329.89
  6. Step 6: Final answer
    x = 129.63

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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.