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Finding the Fourth Proportional to 535.38, 733.46 and 516.89

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Solution

The fourth proportional to 535.38, 733.46 and 516.89 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.38 : 733.46 = 516.89 : x
  2. Step 2: Convert to fraction form
    535.38/733.46 = 516.89/x
  3. Step 3: Cross multiply
    535.38x = 733.46 × 516.89
  4. Step 4: Simplify right side
    535.38x = 379,118.14
  5. Step 5: Solve for x
    x = 379,118.14/535.38
  6. Step 6: Final answer
    x = 708.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.