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Finding the Fourth Proportional to 513.15, 769.80 and 200.75

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Solution

The fourth proportional to 513.15, 769.80 and 200.75 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.15 : 769.80 = 200.75 : x
  2. Step 2: Convert to fraction form
    513.15/769.80 = 200.75/x
  3. Step 3: Cross multiply
    513.15x = 769.80 × 200.75
  4. Step 4: Simplify right side
    513.15x = 154,534.25
  5. Step 5: Solve for x
    x = 154,534.25/513.15
  6. Step 6: Final answer
    x = 301.15

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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.