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Finding the Fourth Proportional to 414.82, 622.23 and 209.48

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Solution

The fourth proportional to 414.82, 622.23 and 209.48 is: 314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.82 : 622.23 = 209.48 : x
  2. Step 2: Convert to fraction form
    414.82/622.23 = 209.48/x
  3. Step 3: Cross multiply
    414.82x = 622.23 × 209.48
  4. Step 4: Simplify right side
    414.82x = 130,343.69
  5. Step 5: Solve for x
    x = 130,343.69/414.82
  6. Step 6: Final answer
    x = 314.22

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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.