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Finding the Fourth Proportional to 629.64, 944.47 and 196.78

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Solution

The fourth proportional to 629.64, 944.47 and 196.78 is: 295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.64 : 944.47 = 196.78 : x
  2. Step 2: Convert to fraction form
    629.64/944.47 = 196.78/x
  3. Step 3: Cross multiply
    629.64x = 944.47 × 196.78
  4. Step 4: Simplify right side
    629.64x = 185,852.81
  5. Step 5: Solve for x
    x = 185,852.81/629.64
  6. Step 6: Final answer
    x = 295.17

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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.