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Finding the Fourth Proportional to 801.28, 1,201.97 and 224.20

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Solution

The fourth proportional to 801.28, 1,201.97 and 224.20 is: 336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.28 : 1,201.97 = 224.20 : x
  2. Step 2: Convert to fraction form
    801.28/1,201.97 = 224.20/x
  3. Step 3: Cross multiply
    801.28x = 1,201.97 × 224.20
  4. Step 4: Simplify right side
    801.28x = 269,482.48
  5. Step 5: Solve for x
    x = 269,482.48/801.28
  6. Step 6: Final answer
    x = 336.31

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