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Finding the Fourth Proportional to 535.49, 803.09 and 227.18

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Solution

The fourth proportional to 535.49, 803.09 and 227.18 is: 340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.49 : 803.09 = 227.18 : x
  2. Step 2: Convert to fraction form
    535.49/803.09 = 227.18/x
  3. Step 3: Cross multiply
    535.49x = 803.09 × 227.18
  4. Step 4: Simplify right side
    535.49x = 182,446.86
  5. Step 5: Solve for x
    x = 182,446.86/535.49
  6. Step 6: Final answer
    x = 340.71

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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.