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Finding the Fourth Proportional to 513.39, 768.70 and 269.40

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Solution

The fourth proportional to 513.39, 768.70 and 269.40 is: 403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.39 : 768.70 = 269.40 : x
  2. Step 2: Convert to fraction form
    513.39/768.70 = 269.40/x
  3. Step 3: Cross multiply
    513.39x = 768.70 × 269.40
  4. Step 4: Simplify right side
    513.39x = 207,087.78
  5. Step 5: Solve for x
    x = 207,087.78/513.39
  6. Step 6: Final answer
    x = 403.37

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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.