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Finding the Fourth Proportional to 414.98, 622.09 and 209.44

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Solution

The fourth proportional to 414.98, 622.09 and 209.44 is: 313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 622.09 = 209.44 : x
  2. Step 2: Convert to fraction form
    414.98/622.09 = 209.44/x
  3. Step 3: Cross multiply
    414.98x = 622.09 × 209.44
  4. Step 4: Simplify right side
    414.98x = 130,290.53
  5. Step 5: Solve for x
    x = 130,290.53/414.98
  6. Step 6: Final answer
    x = 313.97

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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.