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Finding the Fourth Proportional to 513.13, 769.01 and 204.81

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Solution

The fourth proportional to 513.13, 769.01 and 204.81 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.13 : 769.01 = 204.81 : x
  2. Step 2: Convert to fraction form
    513.13/769.01 = 204.81/x
  3. Step 3: Cross multiply
    513.13x = 769.01 × 204.81
  4. Step 4: Simplify right side
    513.13x = 157,500.94
  5. Step 5: Solve for x
    x = 157,500.94/513.13
  6. Step 6: Final answer
    x = 306.94

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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.