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Finding the Fourth Proportional to 326.94, 490.38 and 196.53

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Solution

The fourth proportional to 326.94, 490.38 and 196.53 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.94 : 490.38 = 196.53 : x
  2. Step 2: Convert to fraction form
    326.94/490.38 = 196.53/x
  3. Step 3: Cross multiply
    326.94x = 490.38 × 196.53
  4. Step 4: Simplify right side
    326.94x = 96,374.38
  5. Step 5: Solve for x
    x = 96,374.38/326.94
  6. Step 6: Final answer
    x = 294.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.