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Finding the Fourth Proportional to 629.55, 944.31 and 196.65

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Solution

The fourth proportional to 629.55, 944.31 and 196.65 is: 294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.55 : 944.31 = 196.65 : x
  2. Step 2: Convert to fraction form
    629.55/944.31 = 196.65/x
  3. Step 3: Cross multiply
    629.55x = 944.31 × 196.65
  4. Step 4: Simplify right side
    629.55x = 185,698.56
  5. Step 5: Solve for x
    x = 185,698.56/629.55
  6. Step 6: Final answer
    x = 294.97

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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.