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Finding the Fourth Proportional to 513.23, 769.04 and 281.78

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Solution

The fourth proportional to 513.23, 769.04 and 281.78 is: 422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.23 : 769.04 = 281.78 : x
  2. Step 2: Convert to fraction form
    513.23/769.04 = 281.78/x
  3. Step 3: Cross multiply
    513.23x = 769.04 × 281.78
  4. Step 4: Simplify right side
    513.23x = 216,694.84
  5. Step 5: Solve for x
    x = 216,694.84/513.23
  6. Step 6: Final answer
    x = 422.22

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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.