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Finding the Fourth Proportional to 516.30, 774.43 and 187.24

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Solution

The fourth proportional to 516.30, 774.43 and 187.24 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 774.43 = 187.24 : x
  2. Step 2: Convert to fraction form
    516.30/774.43 = 187.24/x
  3. Step 3: Cross multiply
    516.30x = 774.43 × 187.24
  4. Step 4: Simplify right side
    516.30x = 145,004.27
  5. Step 5: Solve for x
    x = 145,004.27/516.30
  6. Step 6: Final answer
    x = 280.85

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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.