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Finding the Fourth Proportional to 551.79, 827.21 and 226.94

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Solution

The fourth proportional to 551.79, 827.21 and 226.94 is: 340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.79 : 827.21 = 226.94 : x
  2. Step 2: Convert to fraction form
    551.79/827.21 = 226.94/x
  3. Step 3: Cross multiply
    551.79x = 827.21 × 226.94
  4. Step 4: Simplify right side
    551.79x = 187,721.77
  5. Step 5: Solve for x
    x = 187,721.77/551.79
  6. Step 6: Final answer
    x = 340.21

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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.