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Finding the Fourth Proportional to 326.13, 450.14 and 209.49

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Solution

The fourth proportional to 326.13, 450.14 and 209.49 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.13 : 450.14 = 209.49 : x
  2. Step 2: Convert to fraction form
    326.13/450.14 = 209.49/x
  3. Step 3: Cross multiply
    326.13x = 450.14 × 209.49
  4. Step 4: Simplify right side
    326.13x = 94,299.83
  5. Step 5: Solve for x
    x = 94,299.83/326.13
  6. Step 6: Final answer
    x = 289.15

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