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Finding the Fourth Proportional to 551.57, 827.33 and 378.54

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Solution

The fourth proportional to 551.57, 827.33 and 378.54 is: 567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.57 : 827.33 = 378.54 : x
  2. Step 2: Convert to fraction form
    551.57/827.33 = 378.54/x
  3. Step 3: Cross multiply
    551.57x = 827.33 × 378.54
  4. Step 4: Simplify right side
    551.57x = 313,175.61
  5. Step 5: Solve for x
    x = 313,175.61/551.57
  6. Step 6: Final answer
    x = 567.79

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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.