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Finding the Fourth Proportional to 414.82, 621.93 and 209.29

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Solution

The fourth proportional to 414.82, 621.93 and 209.29 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.82 : 621.93 = 209.29 : x
  2. Step 2: Convert to fraction form
    414.82/621.93 = 209.29/x
  3. Step 3: Cross multiply
    414.82x = 621.93 × 209.29
  4. Step 4: Simplify right side
    414.82x = 130,163.73
  5. Step 5: Solve for x
    x = 130,163.73/414.82
  6. Step 6: Final answer
    x = 313.78

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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.