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Finding the Fourth Proportional to 535.82, 798.23 and 516.22

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Solution

The fourth proportional to 535.82, 798.23 and 516.22 is: 769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 798.23 = 516.22 : x
  2. Step 2: Convert to fraction form
    535.82/798.23 = 516.22/x
  3. Step 3: Cross multiply
    535.82x = 798.23 × 516.22
  4. Step 4: Simplify right side
    535.82x = 412,061.59
  5. Step 5: Solve for x
    x = 412,061.59/535.82
  6. Step 6: Final answer
    x = 769.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.