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Finding the Fourth Proportional to 629.39, 867.85 and 496.62

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Solution

The fourth proportional to 629.39, 867.85 and 496.62 is: 684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.39 : 867.85 = 496.62 : x
  2. Step 2: Convert to fraction form
    629.39/867.85 = 496.62/x
  3. Step 3: Cross multiply
    629.39x = 867.85 × 496.62
  4. Step 4: Simplify right side
    629.39x = 430,990.43
  5. Step 5: Solve for x
    x = 430,990.43/629.39
  6. Step 6: Final answer
    x = 684.77

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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.