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Finding the Fourth Proportional to 326.57, 451.02 and 306.21

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Solution

The fourth proportional to 326.57, 451.02 and 306.21 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.57 : 451.02 = 306.21 : x
  2. Step 2: Convert to fraction form
    326.57/451.02 = 306.21/x
  3. Step 3: Cross multiply
    326.57x = 451.02 × 306.21
  4. Step 4: Simplify right side
    326.57x = 138,107.95
  5. Step 5: Solve for x
    x = 138,107.95/326.57
  6. Step 6: Final answer
    x = 422.91

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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.