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Finding the Fourth Proportional to 551.80, 827.07 and 278.11

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Solution

The fourth proportional to 551.80, 827.07 and 278.11 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.80 : 827.07 = 278.11 : x
  2. Step 2: Convert to fraction form
    551.80/827.07 = 278.11/x
  3. Step 3: Cross multiply
    551.80x = 827.07 × 278.11
  4. Step 4: Simplify right side
    551.80x = 230,016.44
  5. Step 5: Solve for x
    x = 230,016.44/551.80
  6. Step 6: Final answer
    x = 416.85

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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.