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Finding the Fourth Proportional to 629.12, 944.30 and 412.85

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Solution

The fourth proportional to 629.12, 944.30 and 412.85 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.12 : 944.30 = 412.85 : x
  2. Step 2: Convert to fraction form
    629.12/944.30 = 412.85/x
  3. Step 3: Cross multiply
    629.12x = 944.30 × 412.85
  4. Step 4: Simplify right side
    629.12x = 389,857.65
  5. Step 5: Solve for x
    x = 389,857.65/629.12
  6. Step 6: Final answer
    x = 619.68

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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.