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Finding the Fourth Proportional to 629.69, 944.67 and 196.88

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Solution

The fourth proportional to 629.69, 944.67 and 196.88 is: 295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.69 : 944.67 = 196.88 : x
  2. Step 2: Convert to fraction form
    629.69/944.67 = 196.88/x
  3. Step 3: Cross multiply
    629.69x = 944.67 × 196.88
  4. Step 4: Simplify right side
    629.69x = 185,986.63
  5. Step 5: Solve for x
    x = 185,986.63/629.69
  6. Step 6: Final answer
    x = 295.36

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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.