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Finding the Fourth Proportional to 274.18, 409.01 and 254.54

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Solution

The fourth proportional to 274.18, 409.01 and 254.54 is: 379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.18 : 409.01 = 254.54 : x
  2. Step 2: Convert to fraction form
    274.18/409.01 = 254.54/x
  3. Step 3: Cross multiply
    274.18x = 409.01 × 254.54
  4. Step 4: Simplify right side
    274.18x = 104,108.00
  5. Step 5: Solve for x
    x = 104,108.00/274.18
  6. Step 6: Final answer
    x = 379.71

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