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Finding the Fourth Proportional to 629.75, 944.73 and 196.88

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Solution

The fourth proportional to 629.75, 944.73 and 196.88 is: 295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.75 : 944.73 = 196.88 : x
  2. Step 2: Convert to fraction form
    629.75/944.73 = 196.88/x
  3. Step 3: Cross multiply
    629.75x = 944.73 × 196.88
  4. Step 4: Simplify right side
    629.75x = 185,998.44
  5. Step 5: Solve for x
    x = 185,998.44/629.75
  6. Step 6: Final answer
    x = 295.35

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1.5x scale

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.