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Finding the Fourth Proportional to 274.91, 379.49 and 209.43

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Solution

The fourth proportional to 274.91, 379.49 and 209.43 is: 289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.91 : 379.49 = 209.43 : x
  2. Step 2: Convert to fraction form
    274.91/379.49 = 209.43/x
  3. Step 3: Cross multiply
    274.91x = 379.49 × 209.43
  4. Step 4: Simplify right side
    274.91x = 79,475.54
  5. Step 5: Solve for x
    x = 79,475.54/274.91
  6. Step 6: Final answer
    x = 289.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.