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Finding the Fourth Proportional to 513.02, 768.15 and 269.06

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Solution

The fourth proportional to 513.02, 768.15 and 269.06 is: 402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.02 : 768.15 = 269.06 : x
  2. Step 2: Convert to fraction form
    513.02/768.15 = 269.06/x
  3. Step 3: Cross multiply
    513.02x = 768.15 × 269.06
  4. Step 4: Simplify right side
    513.02x = 206,674.60
  5. Step 5: Solve for x
    x = 206,674.60/513.02
  6. Step 6: Final answer
    x = 402.86

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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.