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Finding the Fourth Proportional to 629.50, 944.34 and 196.69

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Solution

The fourth proportional to 629.50, 944.34 and 196.69 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.50 : 944.34 = 196.69 : x
  2. Step 2: Convert to fraction form
    629.50/944.34 = 196.69/x
  3. Step 3: Cross multiply
    629.50x = 944.34 × 196.69
  4. Step 4: Simplify right side
    629.50x = 185,741.25
  5. Step 5: Solve for x
    x = 185,741.25/629.50
  6. Step 6: Final answer
    x = 295.06

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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.