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Finding the Fourth Proportional to 513.16, 769.05 and 282.11

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Solution

The fourth proportional to 513.16, 769.05 and 282.11 is: 422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.16 : 769.05 = 282.11 : x
  2. Step 2: Convert to fraction form
    513.16/769.05 = 282.11/x
  3. Step 3: Cross multiply
    513.16x = 769.05 × 282.11
  4. Step 4: Simplify right side
    513.16x = 216,952.85
  5. Step 5: Solve for x
    x = 216,952.85/513.16
  6. Step 6: Final answer
    x = 422.78

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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.