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Finding the Fourth Proportional to 484.92, 727.38 and 196.38

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Solution

The fourth proportional to 484.92, 727.38 and 196.38 is: 294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 727.38 = 196.38 : x
  2. Step 2: Convert to fraction form
    484.92/727.38 = 196.38/x
  3. Step 3: Cross multiply
    484.92x = 727.38 × 196.38
  4. Step 4: Simplify right side
    484.92x = 142,842.88
  5. Step 5: Solve for x
    x = 142,842.88/484.92
  6. Step 6: Final answer
    x = 294.57

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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.