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Finding the Fourth Proportional to 513.79, 770.95 and 205.73

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Solution

The fourth proportional to 513.79, 770.95 and 205.73 is: 308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.79 : 770.95 = 205.73 : x
  2. Step 2: Convert to fraction form
    513.79/770.95 = 205.73/x
  3. Step 3: Cross multiply
    513.79x = 770.95 × 205.73
  4. Step 4: Simplify right side
    513.79x = 158,610.59
  5. Step 5: Solve for x
    x = 158,610.59/513.79
  6. Step 6: Final answer
    x = 308.71

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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.