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Finding the Fourth Proportional to 490.49, 735.68 and 197.94

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Solution

The fourth proportional to 490.49, 735.68 and 197.94 is: 296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.49 : 735.68 = 197.94 : x
  2. Step 2: Convert to fraction form
    490.49/735.68 = 197.94/x
  3. Step 3: Cross multiply
    490.49x = 735.68 × 197.94
  4. Step 4: Simplify right side
    490.49x = 145,620.50
  5. Step 5: Solve for x
    x = 145,620.50/490.49
  6. Step 6: Final answer
    x = 296.89

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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.