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Finding the Fourth Proportional to 414.69, 622.07 and 209.15

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Solution

The fourth proportional to 414.69, 622.07 and 209.15 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.69 : 622.07 = 209.15 : x
  2. Step 2: Convert to fraction form
    414.69/622.07 = 209.15/x
  3. Step 3: Cross multiply
    414.69x = 622.07 × 209.15
  4. Step 4: Simplify right side
    414.69x = 130,101.78
  5. Step 5: Solve for x
    x = 130,101.78/414.69
  6. Step 6: Final answer
    x = 313.73

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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.