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Finding the Fourth Proportional to 513.72, 770.56 and 205.49

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Solution

The fourth proportional to 513.72, 770.56 and 205.49 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.72 : 770.56 = 205.49 : x
  2. Step 2: Convert to fraction form
    513.72/770.56 = 205.49/x
  3. Step 3: Cross multiply
    513.72x = 770.56 × 205.49
  4. Step 4: Simplify right side
    513.72x = 158,344.56
  5. Step 5: Solve for x
    x = 158,344.56/513.72
  6. Step 6: Final answer
    x = 308.23

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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.