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Finding the Fourth Proportional to 371.28, 556.31 and 217.33

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Solution

The fourth proportional to 371.28, 556.31 and 217.33 is: 325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.28 : 556.31 = 217.33 : x
  2. Step 2: Convert to fraction form
    371.28/556.31 = 217.33/x
  3. Step 3: Cross multiply
    371.28x = 556.31 × 217.33
  4. Step 4: Simplify right side
    371.28x = 120,902.85
  5. Step 5: Solve for x
    x = 120,902.85/371.28
  6. Step 6: Final answer
    x = 325.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.