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Finding the Fourth Proportional to 629.30, 944.01 and 196.45

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Solution

The fourth proportional to 629.30, 944.01 and 196.45 is: 294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.30 : 944.01 = 196.45 : x
  2. Step 2: Convert to fraction form
    629.30/944.01 = 196.45/x
  3. Step 3: Cross multiply
    629.30x = 944.01 × 196.45
  4. Step 4: Simplify right side
    629.30x = 185,448.40
  5. Step 5: Solve for x
    x = 185,448.40/629.30
  6. Step 6: Final answer
    x = 294.69

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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.