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Finding the Fourth Proportional to 274.32, 409.41 and 254.25

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Solution

The fourth proportional to 274.32, 409.41 and 254.25 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 409.41 = 254.25 : x
  2. Step 2: Convert to fraction form
    274.32/409.41 = 254.25/x
  3. Step 3: Cross multiply
    274.32x = 409.41 × 254.25
  4. Step 4: Simplify right side
    274.32x = 104,092.49
  5. Step 5: Solve for x
    x = 104,092.49/274.32
  6. Step 6: Final answer
    x = 379.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.