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Finding the Fourth Proportional to 470.25, 704.90 and 196.49

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Solution

The fourth proportional to 470.25, 704.90 and 196.49 is: 294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.25 : 704.90 = 196.49 : x
  2. Step 2: Convert to fraction form
    470.25/704.90 = 196.49/x
  3. Step 3: Cross multiply
    470.25x = 704.90 × 196.49
  4. Step 4: Simplify right side
    470.25x = 138,508.05
  5. Step 5: Solve for x
    x = 138,508.05/470.25
  6. Step 6: Final answer
    x = 294.54

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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.