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Finding the Fourth Proportional to 513.02, 769.89 and 269.72

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Solution

The fourth proportional to 513.02, 769.89 and 269.72 is: 404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.02 : 769.89 = 269.72 : x
  2. Step 2: Convert to fraction form
    513.02/769.89 = 269.72/x
  3. Step 3: Cross multiply
    513.02x = 769.89 × 269.72
  4. Step 4: Simplify right side
    513.02x = 207,654.73
  5. Step 5: Solve for x
    x = 207,654.73/513.02
  6. Step 6: Final answer
    x = 404.77

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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.