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Finding the Fourth Proportional to 273.92, 409.09 and 237.44

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Solution

The fourth proportional to 273.92, 409.09 and 237.44 is: 354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.92 : 409.09 = 237.44 : x
  2. Step 2: Convert to fraction form
    273.92/409.09 = 237.44/x
  3. Step 3: Cross multiply
    273.92x = 409.09 × 237.44
  4. Step 4: Simplify right side
    273.92x = 97,134.33
  5. Step 5: Solve for x
    x = 97,134.33/273.92
  6. Step 6: Final answer
    x = 354.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.