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Finding the Fourth Proportional to 629.98, 944.97 and 197.17

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Solution

The fourth proportional to 629.98, 944.97 and 197.17 is: 295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.98 : 944.97 = 197.17 : x
  2. Step 2: Convert to fraction form
    629.98/944.97 = 197.17/x
  3. Step 3: Cross multiply
    629.98x = 944.97 × 197.17
  4. Step 4: Simplify right side
    629.98x = 186,319.73
  5. Step 5: Solve for x
    x = 186,319.73/629.98
  6. Step 6: Final answer
    x = 295.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.