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Finding the Fourth Proportional to 629.42, 942.62 and 411.80

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Solution

The fourth proportional to 629.42, 942.62 and 411.80 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.42 : 942.62 = 411.80 : x
  2. Step 2: Convert to fraction form
    629.42/942.62 = 411.80/x
  3. Step 3: Cross multiply
    629.42x = 942.62 × 411.80
  4. Step 4: Simplify right side
    629.42x = 388,170.92
  5. Step 5: Solve for x
    x = 388,170.92/629.42
  6. Step 6: Final answer
    x = 616.71

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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.