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Finding the Fourth Proportional to 801.45, 1,202.13 and 224.33

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Solution

The fourth proportional to 801.45, 1,202.13 and 224.33 is: 336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.45 : 1,202.13 = 224.33 : x
  2. Step 2: Convert to fraction form
    801.45/1,202.13 = 224.33/x
  3. Step 3: Cross multiply
    801.45x = 1,202.13 × 224.33
  4. Step 4: Simplify right side
    801.45x = 269,667.81
  5. Step 5: Solve for x
    x = 269,667.81/801.45
  6. Step 6: Final answer
    x = 336.47

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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.