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Finding the Fourth Proportional to 629.32, 868.41 and 363.77

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Solution

The fourth proportional to 629.32, 868.41 and 363.77 is: 501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.32 : 868.41 = 363.77 : x
  2. Step 2: Convert to fraction form
    629.32/868.41 = 363.77/x
  3. Step 3: Cross multiply
    629.32x = 868.41 × 363.77
  4. Step 4: Simplify right side
    629.32x = 315,895.34
  5. Step 5: Solve for x
    x = 315,895.34/629.32
  6. Step 6: Final answer
    x = 501.97

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