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Finding the Fourth Proportional to 426.23, 638.42 and 209.34

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Solution

The fourth proportional to 426.23, 638.42 and 209.34 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.23 : 638.42 = 209.34 : x
  2. Step 2: Convert to fraction form
    426.23/638.42 = 209.34/x
  3. Step 3: Cross multiply
    426.23x = 638.42 × 209.34
  4. Step 4: Simplify right side
    426.23x = 133,645.80
  5. Step 5: Solve for x
    x = 133,645.80/426.23
  6. Step 6: Final answer
    x = 313.56

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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.