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Finding the Fourth Proportional to 271.84, 408.16 and 262.39

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Solution

The fourth proportional to 271.84, 408.16 and 262.39 is: 393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.84 : 408.16 = 262.39 : x
  2. Step 2: Convert to fraction form
    271.84/408.16 = 262.39/x
  3. Step 3: Cross multiply
    271.84x = 408.16 × 262.39
  4. Step 4: Simplify right side
    271.84x = 107,097.10
  5. Step 5: Solve for x
    x = 107,097.10/271.84
  6. Step 6: Final answer
    x = 393.97

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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.