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Finding the Fourth Proportional to 551.23, 827.48 and 378.63

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Solution

The fourth proportional to 551.23, 827.48 and 378.63 is: 568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.23 : 827.48 = 378.63 : x
  2. Step 2: Convert to fraction form
    551.23/827.48 = 378.63/x
  3. Step 3: Cross multiply
    551.23x = 827.48 × 378.63
  4. Step 4: Simplify right side
    551.23x = 313,309.70
  5. Step 5: Solve for x
    x = 313,309.70/551.23
  6. Step 6: Final answer
    x = 568.39

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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.