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Finding the Fourth Proportional to 535.23, 803 and 227.13

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Solution

The fourth proportional to 535.23, 803 and 227.13 is: 340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 803 = 227.13 : x
  2. Step 2: Convert to fraction form
    535.23/803 = 227.13/x
  3. Step 3: Cross multiply
    535.23x = 803 × 227.13
  4. Step 4: Simplify right side
    535.23x = 182,385.39
  5. Step 5: Solve for x
    x = 182,385.39/535.23
  6. Step 6: Final answer
    x = 340.76

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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.