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Finding the Fourth Proportional to 513.26, 769.52 and 282.26

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Solution

The fourth proportional to 513.26, 769.52 and 282.26 is: 423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 769.52 = 282.26 : x
  2. Step 2: Convert to fraction form
    513.26/769.52 = 282.26/x
  3. Step 3: Cross multiply
    513.26x = 769.52 × 282.26
  4. Step 4: Simplify right side
    513.26x = 217,199.46
  5. Step 5: Solve for x
    x = 217,199.46/513.26
  6. Step 6: Final answer
    x = 423.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.