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Finding the Fourth Proportional to 516.57, 774.07 and 310.91

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Solution

The fourth proportional to 516.57, 774.07 and 310.91 is: 465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 774.07 = 310.91 : x
  2. Step 2: Convert to fraction form
    516.57/774.07 = 310.91/x
  3. Step 3: Cross multiply
    516.57x = 774.07 × 310.91
  4. Step 4: Simplify right side
    516.57x = 240,660.68
  5. Step 5: Solve for x
    x = 240,660.68/516.57
  6. Step 6: Final answer
    x = 465.89

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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.