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Finding the Fourth Proportional to 371.45, 512.67 and 273.71

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Solution

The fourth proportional to 371.45, 512.67 and 273.71 is: 377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.45 : 512.67 = 273.71 : x
  2. Step 2: Convert to fraction form
    371.45/512.67 = 273.71/x
  3. Step 3: Cross multiply
    371.45x = 512.67 × 273.71
  4. Step 4: Simplify right side
    371.45x = 140,321.54
  5. Step 5: Solve for x
    x = 140,321.54/371.45
  6. Step 6: Final answer
    x = 377.77

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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.