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Finding the Fourth Proportional to 516.14, 768.22 and 504.80

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Solution

The fourth proportional to 516.14, 768.22 and 504.80 is: 751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.14 : 768.22 = 504.80 : x
  2. Step 2: Convert to fraction form
    516.14/768.22 = 504.80/x
  3. Step 3: Cross multiply
    516.14x = 768.22 × 504.80
  4. Step 4: Simplify right side
    516.14x = 387,797.46
  5. Step 5: Solve for x
    x = 387,797.46/516.14
  6. Step 6: Final answer
    x = 751.34

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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.