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Finding the Fourth Proportional to 629.08, 943.67 and 263.86

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Solution

The fourth proportional to 629.08, 943.67 and 263.86 is: 395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.08 : 943.67 = 263.86 : x
  2. Step 2: Convert to fraction form
    629.08/943.67 = 263.86/x
  3. Step 3: Cross multiply
    629.08x = 943.67 × 263.86
  4. Step 4: Simplify right side
    629.08x = 248,996.77
  5. Step 5: Solve for x
    x = 248,996.77/629.08
  6. Step 6: Final answer
    x = 395.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.