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Finding the Fourth Proportional to 513.73, 769.79 and 282.28

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Solution

The fourth proportional to 513.73, 769.79 and 282.28 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.73 : 769.79 = 282.28 : x
  2. Step 2: Convert to fraction form
    513.73/769.79 = 282.28/x
  3. Step 3: Cross multiply
    513.73x = 769.79 × 282.28
  4. Step 4: Simplify right side
    513.73x = 217,291.06
  5. Step 5: Solve for x
    x = 217,291.06/513.73
  6. Step 6: Final answer
    x = 422.97

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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.