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Finding the Fourth Proportional to 516.14, 774.87 and 499.74

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Solution

The fourth proportional to 516.14, 774.87 and 499.74 is: 750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.14 : 774.87 = 499.74 : x
  2. Step 2: Convert to fraction form
    516.14/774.87 = 499.74/x
  3. Step 3: Cross multiply
    516.14x = 774.87 × 499.74
  4. Step 4: Simplify right side
    516.14x = 387,227.16
  5. Step 5: Solve for x
    x = 387,227.16/516.14
  6. Step 6: Final answer
    x = 750.24

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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.