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Finding the Fourth Proportional to 513.98, 771.01 and 221.49

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Solution

The fourth proportional to 513.98, 771.01 and 221.49 is: 332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 771.01 = 221.49 : x
  2. Step 2: Convert to fraction form
    513.98/771.01 = 221.49/x
  3. Step 3: Cross multiply
    513.98x = 771.01 × 221.49
  4. Step 4: Simplify right side
    513.98x = 170,770.25
  5. Step 5: Solve for x
    x = 170,770.25/513.98
  6. Step 6: Final answer
    x = 332.25

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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.