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Finding the Fourth Proportional to 516.24, 774.28 and 310.84

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Solution

The fourth proportional to 516.24, 774.28 and 310.84 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 774.28 = 310.84 : x
  2. Step 2: Convert to fraction form
    516.24/774.28 = 310.84/x
  3. Step 3: Cross multiply
    516.24x = 774.28 × 310.84
  4. Step 4: Simplify right side
    516.24x = 240,677.20
  5. Step 5: Solve for x
    x = 240,677.20/516.24
  6. Step 6: Final answer
    x = 466.21

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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.