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Finding the Fourth Proportional to 329.69, 493.92 and 252.60

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Solution

The fourth proportional to 329.69, 493.92 and 252.60 is: 378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 493.92 = 252.60 : x
  2. Step 2: Convert to fraction form
    329.69/493.92 = 252.60/x
  3. Step 3: Cross multiply
    329.69x = 493.92 × 252.60
  4. Step 4: Simplify right side
    329.69x = 124,764.19
  5. Step 5: Solve for x
    x = 124,764.19/329.69
  6. Step 6: Final answer
    x = 378.43

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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.