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Finding the Fourth Proportional to 629.05, 943.62 and 263.87

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Solution

The fourth proportional to 629.05, 943.62 and 263.87 is: 395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.05 : 943.62 = 263.87 : x
  2. Step 2: Convert to fraction form
    629.05/943.62 = 263.87/x
  3. Step 3: Cross multiply
    629.05x = 943.62 × 263.87
  4. Step 4: Simplify right side
    629.05x = 248,993.01
  5. Step 5: Solve for x
    x = 248,993.01/629.05
  6. Step 6: Final answer
    x = 395.82

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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.