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Finding the Fourth Proportional to 490.04, 735.17 and 197.49

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Solution

The fourth proportional to 490.04, 735.17 and 197.49 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.04 : 735.17 = 197.49 : x
  2. Step 2: Convert to fraction form
    490.04/735.17 = 197.49/x
  3. Step 3: Cross multiply
    490.04x = 735.17 × 197.49
  4. Step 4: Simplify right side
    490.04x = 145,187.74
  5. Step 5: Solve for x
    x = 145,187.74/490.04
  6. Step 6: Final answer
    x = 296.28

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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.