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Finding the Fourth Proportional to 552.85, 828.96 and 227.83

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Solution

The fourth proportional to 552.85, 828.96 and 227.83 is: 341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.85 : 828.96 = 227.83 : x
  2. Step 2: Convert to fraction form
    552.85/828.96 = 227.83/x
  3. Step 3: Cross multiply
    552.85x = 828.96 × 227.83
  4. Step 4: Simplify right side
    552.85x = 188,861.96
  5. Step 5: Solve for x
    x = 188,861.96/552.85
  6. Step 6: Final answer
    x = 341.62

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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.