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Finding the Fourth Proportional to 513.20, 769.76 and 266.39

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Solution

The fourth proportional to 513.20, 769.76 and 266.39 is: 399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 769.76 = 266.39 : x
  2. Step 2: Convert to fraction form
    513.20/769.76 = 266.39/x
  3. Step 3: Cross multiply
    513.20x = 769.76 × 266.39
  4. Step 4: Simplify right side
    513.20x = 205,056.37
  5. Step 5: Solve for x
    x = 205,056.37/513.20
  6. Step 6: Final answer
    x = 399.56

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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.