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Finding the Fourth Proportional to 629.86, 869.25 and 443.28

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Solution

The fourth proportional to 629.86, 869.25 and 443.28 is: 611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.86 : 869.25 = 443.28 : x
  2. Step 2: Convert to fraction form
    629.86/869.25 = 443.28/x
  3. Step 3: Cross multiply
    629.86x = 869.25 × 443.28
  4. Step 4: Simplify right side
    629.86x = 385,321.14
  5. Step 5: Solve for x
    x = 385,321.14/629.86
  6. Step 6: Final answer
    x = 611.76

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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.