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Finding the Fourth Proportional to 516.59, 774.89 and 310.91

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Solution

The fourth proportional to 516.59, 774.89 and 310.91 is: 466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.59 : 774.89 = 310.91 : x
  2. Step 2: Convert to fraction form
    516.59/774.89 = 310.91/x
  3. Step 3: Cross multiply
    516.59x = 774.89 × 310.91
  4. Step 4: Simplify right side
    516.59x = 240,916.79
  5. Step 5: Solve for x
    x = 240,916.79/516.59
  6. Step 6: Final answer
    x = 466.36

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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.