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Finding the Fourth Proportional to 274.08, 408.03 and 262.92

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Solution

The fourth proportional to 274.08, 408.03 and 262.92 is: 391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.08 : 408.03 = 262.92 : x
  2. Step 2: Convert to fraction form
    274.08/408.03 = 262.92/x
  3. Step 3: Cross multiply
    274.08x = 408.03 × 262.92
  4. Step 4: Simplify right side
    274.08x = 107,279.25
  5. Step 5: Solve for x
    x = 107,279.25/274.08
  6. Step 6: Final answer
    x = 391.42

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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.