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Finding the Fourth Proportional to 414.74, 622.11 and 209.10

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Solution

The fourth proportional to 414.74, 622.11 and 209.10 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.74 : 622.11 = 209.10 : x
  2. Step 2: Convert to fraction form
    414.74/622.11 = 209.10/x
  3. Step 3: Cross multiply
    414.74x = 622.11 × 209.10
  4. Step 4: Simplify right side
    414.74x = 130,083.20
  5. Step 5: Solve for x
    x = 130,083.20/414.74
  6. Step 6: Final answer
    x = 313.65

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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.