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Finding the Fourth Proportional to 629.67, 868.22 and 496.94

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Solution

The fourth proportional to 629.67, 868.22 and 496.94 is: 685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.67 : 868.22 = 496.94 : x
  2. Step 2: Convert to fraction form
    629.67/868.22 = 496.94/x
  3. Step 3: Cross multiply
    629.67x = 868.22 × 496.94
  4. Step 4: Simplify right side
    629.67x = 431,448.28
  5. Step 5: Solve for x
    x = 431,448.28/629.67
  6. Step 6: Final answer
    x = 685.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.