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Finding the Fourth Proportional to 535.39, 803.33 and 227.31

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Solution

The fourth proportional to 535.39, 803.33 and 227.31 is: 341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.39 : 803.33 = 227.31 : x
  2. Step 2: Convert to fraction form
    535.39/803.33 = 227.31/x
  3. Step 3: Cross multiply
    535.39x = 803.33 × 227.31
  4. Step 4: Simplify right side
    535.39x = 182,604.94
  5. Step 5: Solve for x
    x = 182,604.94/535.39
  6. Step 6: Final answer
    x = 341.07

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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.