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Finding the Fourth Proportional to 535.72, 803.23 and 227.49

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Solution

The fourth proportional to 535.72, 803.23 and 227.49 is: 341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.72 : 803.23 = 227.49 : x
  2. Step 2: Convert to fraction form
    535.72/803.23 = 227.49/x
  3. Step 3: Cross multiply
    535.72x = 803.23 × 227.49
  4. Step 4: Simplify right side
    535.72x = 182,729.01
  5. Step 5: Solve for x
    x = 182,729.01/535.72
  6. Step 6: Final answer
    x = 341.09

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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.