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Finding the Fourth Proportional to 425.52, 638.01 and 209.34

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Solution

The fourth proportional to 425.52, 638.01 and 209.34 is: 313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.52 : 638.01 = 209.34 : x
  2. Step 2: Convert to fraction form
    425.52/638.01 = 209.34/x
  3. Step 3: Cross multiply
    425.52x = 638.01 × 209.34
  4. Step 4: Simplify right side
    425.52x = 133,561.01
  5. Step 5: Solve for x
    x = 133,561.01/425.52
  6. Step 6: Final answer
    x = 313.88

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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.