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Finding the Fourth Proportional to 271.92, 406.92 and 271.28

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Solution

The fourth proportional to 271.92, 406.92 and 271.28 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.92 : 406.92 = 271.28 : x
  2. Step 2: Convert to fraction form
    271.92/406.92 = 271.28/x
  3. Step 3: Cross multiply
    271.92x = 406.92 × 271.28
  4. Step 4: Simplify right side
    271.92x = 110,389.26
  5. Step 5: Solve for x
    x = 110,389.26/271.92
  6. Step 6: Final answer
    x = 405.96

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