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Finding the Fourth Proportional to 273.68, 408.01 and 255.44

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Solution

The fourth proportional to 273.68, 408.01 and 255.44 is: 380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.68 : 408.01 = 255.44 : x
  2. Step 2: Convert to fraction form
    273.68/408.01 = 255.44/x
  3. Step 3: Cross multiply
    273.68x = 408.01 × 255.44
  4. Step 4: Simplify right side
    273.68x = 104,222.07
  5. Step 5: Solve for x
    x = 104,222.07/273.68
  6. Step 6: Final answer
    x = 380.82

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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.