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Finding the Fourth Proportional to 629.62, 944.69 and 337.12

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Solution

The fourth proportional to 629.62, 944.69 and 337.12 is: 505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.62 : 944.69 = 337.12 : x
  2. Step 2: Convert to fraction form
    629.62/944.69 = 337.12/x
  3. Step 3: Cross multiply
    629.62x = 944.69 × 337.12
  4. Step 4: Simplify right side
    629.62x = 318,469.85
  5. Step 5: Solve for x
    x = 318,469.85/629.62
  6. Step 6: Final answer
    x = 505.81

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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.