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Finding the Fourth Proportional to 452.96, 679.52 and 196.48

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Solution

The fourth proportional to 452.96, 679.52 and 196.48 is: 294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.96 : 679.52 = 196.48 : x
  2. Step 2: Convert to fraction form
    452.96/679.52 = 196.48/x
  3. Step 3: Cross multiply
    452.96x = 679.52 × 196.48
  4. Step 4: Simplify right side
    452.96x = 133,512.09
  5. Step 5: Solve for x
    x = 133,512.09/452.96
  6. Step 6: Final answer
    x = 294.75

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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.