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Finding the Fourth Proportional to 513.15, 769.47 and 253.27

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Solution

The fourth proportional to 513.15, 769.47 and 253.27 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.15 : 769.47 = 253.27 : x
  2. Step 2: Convert to fraction form
    513.15/769.47 = 253.27/x
  3. Step 3: Cross multiply
    513.15x = 769.47 × 253.27
  4. Step 4: Simplify right side
    513.15x = 194,882.87
  5. Step 5: Solve for x
    x = 194,882.87/513.15
  6. Step 6: Final answer
    x = 379.78

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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.