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Finding the Fourth Proportional to 414.57, 621.34 and 209.19

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Solution

The fourth proportional to 414.57, 621.34 and 209.19 is: 313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.57 : 621.34 = 209.19 : x
  2. Step 2: Convert to fraction form
    414.57/621.34 = 209.19/x
  3. Step 3: Cross multiply
    414.57x = 621.34 × 209.19
  4. Step 4: Simplify right side
    414.57x = 129,977.59
  5. Step 5: Solve for x
    x = 129,977.59/414.57
  6. Step 6: Final answer
    x = 313.52

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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.