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Finding the Fourth Proportional to 552.40, 828.84 and 227.84

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Solution

The fourth proportional to 552.40, 828.84 and 227.84 is: 341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.40 : 828.84 = 227.84 : x
  2. Step 2: Convert to fraction form
    552.40/828.84 = 227.84/x
  3. Step 3: Cross multiply
    552.40x = 828.84 × 227.84
  4. Step 4: Simplify right side
    552.40x = 188,842.91
  5. Step 5: Solve for x
    x = 188,842.91/552.40
  6. Step 6: Final answer
    x = 341.86

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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.