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Finding the Fourth Proportional to 513.26, 769.96 and 253.28

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Solution

The fourth proportional to 513.26, 769.96 and 253.28 is: 379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 769.96 = 253.28 : x
  2. Step 2: Convert to fraction form
    513.26/769.96 = 253.28/x
  3. Step 3: Cross multiply
    513.26x = 769.96 × 253.28
  4. Step 4: Simplify right side
    513.26x = 195,011.62
  5. Step 5: Solve for x
    x = 195,011.62/513.26
  6. Step 6: Final answer
    x = 379.95

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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.