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Finding the Fourth Proportional to 274.13, 412.10 and 254.09

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Solution

The fourth proportional to 274.13, 412.10 and 254.09 is: 381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.13 : 412.10 = 254.09 : x
  2. Step 2: Convert to fraction form
    274.13/412.10 = 254.09/x
  3. Step 3: Cross multiply
    274.13x = 412.10 × 254.09
  4. Step 4: Simplify right side
    274.13x = 104,707.16
  5. Step 5: Solve for x
    x = 104,707.16/274.13
  6. Step 6: Final answer
    x = 381.97

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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.