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Finding the Fourth Proportional to 426.11, 638.66 and 206.42

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Solution

The fourth proportional to 426.11, 638.66 and 206.42 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.11 : 638.66 = 206.42 : x
  2. Step 2: Convert to fraction form
    426.11/638.66 = 206.42/x
  3. Step 3: Cross multiply
    426.11x = 638.66 × 206.42
  4. Step 4: Simplify right side
    426.11x = 131,834.31
  5. Step 5: Solve for x
    x = 131,834.31/426.11
  6. Step 6: Final answer
    x = 309.39

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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.