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Finding the Fourth Proportional to 551.33, 827.41 and 262.97

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Solution

The fourth proportional to 551.33, 827.41 and 262.97 is: 394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.33 : 827.41 = 262.97 : x
  2. Step 2: Convert to fraction form
    551.33/827.41 = 262.97/x
  3. Step 3: Cross multiply
    551.33x = 827.41 × 262.97
  4. Step 4: Simplify right side
    551.33x = 217,584.01
  5. Step 5: Solve for x
    x = 217,584.01/551.33
  6. Step 6: Final answer
    x = 394.65

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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.