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Finding the Fourth Proportional to 513.27, 769.37 and 346.50

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Solution

The fourth proportional to 513.27, 769.37 and 346.50 is: 519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.27 : 769.37 = 346.50 : x
  2. Step 2: Convert to fraction form
    513.27/769.37 = 346.50/x
  3. Step 3: Cross multiply
    513.27x = 769.37 × 346.50
  4. Step 4: Simplify right side
    513.27x = 266,584.97
  5. Step 5: Solve for x
    x = 266,584.97/513.27
  6. Step 6: Final answer
    x = 519.39

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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.