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Finding the Fourth Proportional to 326.91, 490.81 and 269.97

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Solution

The fourth proportional to 326.91, 490.81 and 269.97 is: 405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.91 : 490.81 = 269.97 : x
  2. Step 2: Convert to fraction form
    326.91/490.81 = 269.97/x
  3. Step 3: Cross multiply
    326.91x = 490.81 × 269.97
  4. Step 4: Simplify right side
    326.91x = 132,503.98
  5. Step 5: Solve for x
    x = 132,503.98/326.91
  6. Step 6: Final answer
    x = 405.32

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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.