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Finding the Fourth Proportional to 516.82, 775.24 and 204.70

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Solution

The fourth proportional to 516.82, 775.24 and 204.70 is: 307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.82 : 775.24 = 204.70 : x
  2. Step 2: Convert to fraction form
    516.82/775.24 = 204.70/x
  3. Step 3: Cross multiply
    516.82x = 775.24 × 204.70
  4. Step 4: Simplify right side
    516.82x = 158,691.63
  5. Step 5: Solve for x
    x = 158,691.63/516.82
  6. Step 6: Final answer
    x = 307.05

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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.