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Finding the Fourth Proportional to 425.44, 638.97 and 209.17

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Solution

The fourth proportional to 425.44, 638.97 and 209.17 is: 314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.44 : 638.97 = 209.17 : x
  2. Step 2: Convert to fraction form
    425.44/638.97 = 209.17/x
  3. Step 3: Cross multiply
    425.44x = 638.97 × 209.17
  4. Step 4: Simplify right side
    425.44x = 133,653.35
  5. Step 5: Solve for x
    x = 133,653.35/425.44
  6. Step 6: Final answer
    x = 314.15

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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.