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Finding the Fourth Proportional to 371.64, 512.46 and 273.24

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Solution

The fourth proportional to 371.64, 512.46 and 273.24 is: 376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.64 : 512.46 = 273.24 : x
  2. Step 2: Convert to fraction form
    371.64/512.46 = 273.24/x
  3. Step 3: Cross multiply
    371.64x = 512.46 × 273.24
  4. Step 4: Simplify right side
    371.64x = 140,024.57
  5. Step 5: Solve for x
    x = 140,024.57/371.64
  6. Step 6: Final answer
    x = 376.77

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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.