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Finding the Fourth Proportional to 629.93, 868.34 and 496.90

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Solution

The fourth proportional to 629.93, 868.34 and 496.90 is: 684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.93 : 868.34 = 496.90 : x
  2. Step 2: Convert to fraction form
    629.93/868.34 = 496.90/x
  3. Step 3: Cross multiply
    629.93x = 868.34 × 496.90
  4. Step 4: Simplify right side
    629.93x = 431,478.15
  5. Step 5: Solve for x
    x = 431,478.15/629.93
  6. Step 6: Final answer
    x = 684.96

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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.