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Finding the Fourth Proportional to 629.17, 943.85 and 263.86

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Solution

The fourth proportional to 629.17, 943.85 and 263.86 is: 395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.17 : 943.85 = 263.86 : x
  2. Step 2: Convert to fraction form
    629.17/943.85 = 263.86/x
  3. Step 3: Cross multiply
    629.17x = 943.85 × 263.86
  4. Step 4: Simplify right side
    629.17x = 249,042.56
  5. Step 5: Solve for x
    x = 249,042.56/629.17
  6. Step 6: Final answer
    x = 395.83

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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.