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Finding the Fourth Proportional to 535.29, 803.00 and 227.22

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Solution

The fourth proportional to 535.29, 803.00 and 227.22 is: 340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.29 : 803.00 = 227.22 : x
  2. Step 2: Convert to fraction form
    535.29/803.00 = 227.22/x
  3. Step 3: Cross multiply
    535.29x = 803.00 × 227.22
  4. Step 4: Simplify right side
    535.29x = 182,456.52
  5. Step 5: Solve for x
    x = 182,456.52/535.29
  6. Step 6: Final answer
    x = 340.86

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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.