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Finding the Fourth Proportional to 535.78, 803.97 and 227.59

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Solution

The fourth proportional to 535.78, 803.97 and 227.59 is: 341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.78 : 803.97 = 227.59 : x
  2. Step 2: Convert to fraction form
    535.78/803.97 = 227.59/x
  3. Step 3: Cross multiply
    535.78x = 803.97 × 227.59
  4. Step 4: Simplify right side
    535.78x = 182,975.53
  5. Step 5: Solve for x
    x = 182,975.53/535.78
  6. Step 6: Final answer
    x = 341.51

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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.