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Finding the Fourth Proportional to 513.57, 770.41 and 220.83

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Solution

The fourth proportional to 513.57, 770.41 and 220.83 is: 331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 770.41 = 220.83 : x
  2. Step 2: Convert to fraction form
    513.57/770.41 = 220.83/x
  3. Step 3: Cross multiply
    513.57x = 770.41 × 220.83
  4. Step 4: Simplify right side
    513.57x = 170,127.03
  5. Step 5: Solve for x
    x = 170,127.03/513.57
  6. Step 6: Final answer
    x = 331.26

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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.