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Finding the Fourth Proportional to 552.20, 828.72 and 263.84

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Solution

The fourth proportional to 552.20, 828.72 and 263.84 is: 395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.20 : 828.72 = 263.84 : x
  2. Step 2: Convert to fraction form
    552.20/828.72 = 263.84/x
  3. Step 3: Cross multiply
    552.20x = 828.72 × 263.84
  4. Step 4: Simplify right side
    552.20x = 218,651.56
  5. Step 5: Solve for x
    x = 218,651.56/552.20
  6. Step 6: Final answer
    x = 395.96

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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.