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Finding the Fourth Proportional to 513.74, 770.30 and 205.73

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Solution

The fourth proportional to 513.74, 770.30 and 205.73 is: 308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.74 : 770.30 = 205.73 : x
  2. Step 2: Convert to fraction form
    513.74/770.30 = 205.73/x
  3. Step 3: Cross multiply
    513.74x = 770.30 × 205.73
  4. Step 4: Simplify right side
    513.74x = 158,472.79
  5. Step 5: Solve for x
    x = 158,472.79/513.74
  6. Step 6: Final answer
    x = 308.47

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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.