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Finding the Fourth Proportional to 629.83, 944.78 and 196.97

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Solution

The fourth proportional to 629.83, 944.78 and 196.97 is: 295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.83 : 944.78 = 196.97 : x
  2. Step 2: Convert to fraction form
    629.83/944.78 = 196.97/x
  3. Step 3: Cross multiply
    629.83x = 944.78 × 196.97
  4. Step 4: Simplify right side
    629.83x = 186,093.32
  5. Step 5: Solve for x
    x = 186,093.32/629.83
  6. Step 6: Final answer
    x = 295.47

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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.