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Finding the Fourth Proportional to 309.15, 426.46 and 209.57

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Solution

The fourth proportional to 309.15, 426.46 and 209.57 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.15 : 426.46 = 209.57 : x
  2. Step 2: Convert to fraction form
    309.15/426.46 = 209.57/x
  3. Step 3: Cross multiply
    309.15x = 426.46 × 209.57
  4. Step 4: Simplify right side
    309.15x = 89,371.09
  5. Step 5: Solve for x
    x = 89,371.09/309.15
  6. Step 6: Final answer
    x = 289.09

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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.