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Finding the Fourth Proportional to 629.71, 944.54 and 196.86

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Solution

The fourth proportional to 629.71, 944.54 and 196.86 is: 295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.71 : 944.54 = 196.86 : x
  2. Step 2: Convert to fraction form
    629.71/944.54 = 196.86/x
  3. Step 3: Cross multiply
    629.71x = 944.54 × 196.86
  4. Step 4: Simplify right side
    629.71x = 185,942.14
  5. Step 5: Solve for x
    x = 185,942.14/629.71
  6. Step 6: Final answer
    x = 295.28

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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.