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Finding the Fourth Proportional to 425.75, 638.01 and 209.48

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Solution

The fourth proportional to 425.75, 638.01 and 209.48 is: 313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.75 : 638.01 = 209.48 : x
  2. Step 2: Convert to fraction form
    425.75/638.01 = 209.48/x
  3. Step 3: Cross multiply
    425.75x = 638.01 × 209.48
  4. Step 4: Simplify right side
    425.75x = 133,647.14
  5. Step 5: Solve for x
    x = 133,647.14/425.75
  6. Step 6: Final answer
    x = 313.91

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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.