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Finding the Fourth Proportional to 516.12, 774.56 and 242.24

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Solution

The fourth proportional to 516.12, 774.56 and 242.24 is: 363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.12 : 774.56 = 242.24 : x
  2. Step 2: Convert to fraction form
    516.12/774.56 = 242.24/x
  3. Step 3: Cross multiply
    516.12x = 774.56 × 242.24
  4. Step 4: Simplify right side
    516.12x = 187,629.41
  5. Step 5: Solve for x
    x = 187,629.41/516.12
  6. Step 6: Final answer
    x = 363.54

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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.