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Finding the Fourth Proportional to 513.48, 768.84 and 269.49

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Solution

The fourth proportional to 513.48, 768.84 and 269.49 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 768.84 = 269.49 : x
  2. Step 2: Convert to fraction form
    513.48/768.84 = 269.49/x
  3. Step 3: Cross multiply
    513.48x = 768.84 × 269.49
  4. Step 4: Simplify right side
    513.48x = 207,194.69
  5. Step 5: Solve for x
    x = 207,194.69/513.48
  6. Step 6: Final answer
    x = 403.51

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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.