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Finding the Fourth Proportional to 271.05, 408.85 and 262.85

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Solution

The fourth proportional to 271.05, 408.85 and 262.85 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.05 : 408.85 = 262.85 : x
  2. Step 2: Convert to fraction form
    271.05/408.85 = 262.85/x
  3. Step 3: Cross multiply
    271.05x = 408.85 × 262.85
  4. Step 4: Simplify right side
    271.05x = 107,463.52
  5. Step 5: Solve for x
    x = 107,463.52/271.05
  6. Step 6: Final answer
    x = 396.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.