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Finding the Fourth Proportional to 490.80, 736.04 and 198.23

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Solution

The fourth proportional to 490.80, 736.04 and 198.23 is: 297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.80 : 736.04 = 198.23 : x
  2. Step 2: Convert to fraction form
    490.80/736.04 = 198.23/x
  3. Step 3: Cross multiply
    490.80x = 736.04 × 198.23
  4. Step 4: Simplify right side
    490.80x = 145,900.54
  5. Step 5: Solve for x
    x = 145,900.54/490.80
  6. Step 6: Final answer
    x = 297.27

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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.