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Finding the Fourth Proportional to 326.20, 449.82 and 209.68

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Solution

The fourth proportional to 326.20, 449.82 and 209.68 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.20 : 449.82 = 209.68 : x
  2. Step 2: Convert to fraction form
    326.20/449.82 = 209.68/x
  3. Step 3: Cross multiply
    326.20x = 449.82 × 209.68
  4. Step 4: Simplify right side
    326.20x = 94,318.26
  5. Step 5: Solve for x
    x = 94,318.26/326.20
  6. Step 6: Final answer
    x = 289.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.