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Finding the Fourth Proportional to 600.97, 902.13 and 327.73

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Solution

The fourth proportional to 600.97, 902.13 and 327.73 is: 491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.97 : 902.13 = 327.73 : x
  2. Step 2: Convert to fraction form
    600.97/902.13 = 327.73/x
  3. Step 3: Cross multiply
    600.97x = 902.13 × 327.73
  4. Step 4: Simplify right side
    600.97x = 295,655.06
  5. Step 5: Solve for x
    x = 295,655.06/600.97
  6. Step 6: Final answer
    x = 491.96

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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.