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Finding the Fourth Proportional to 271.44, 409.22 and 254.40

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Solution

The fourth proportional to 271.44, 409.22 and 254.40 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 409.22 = 254.40 : x
  2. Step 2: Convert to fraction form
    271.44/409.22 = 254.40/x
  3. Step 3: Cross multiply
    271.44x = 409.22 × 254.40
  4. Step 4: Simplify right side
    271.44x = 104,105.57
  5. Step 5: Solve for x
    x = 104,105.57/271.44
  6. Step 6: Final answer
    x = 383.53

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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.