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Finding the Fourth Proportional to 371.28, 556.50 and 209.12

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Solution

The fourth proportional to 371.28, 556.50 and 209.12 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.28 : 556.50 = 209.12 : x
  2. Step 2: Convert to fraction form
    371.28/556.50 = 209.12/x
  3. Step 3: Cross multiply
    371.28x = 556.50 × 209.12
  4. Step 4: Simplify right side
    371.28x = 116,375.28
  5. Step 5: Solve for x
    x = 116,375.28/371.28
  6. Step 6: Final answer
    x = 313.44

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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.