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Finding the Fourth Proportional to 425.80, 638.27 and 206.11

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Solution

The fourth proportional to 425.80, 638.27 and 206.11 is: 308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.80 : 638.27 = 206.11 : x
  2. Step 2: Convert to fraction form
    425.80/638.27 = 206.11/x
  3. Step 3: Cross multiply
    425.80x = 638.27 × 206.11
  4. Step 4: Simplify right side
    425.80x = 131,549.61
  5. Step 5: Solve for x
    x = 131,549.61/425.80
  6. Step 6: Final answer
    x = 308.95

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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.