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Finding the Fourth Proportional to 513.63, 769.84 and 205.29

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Solution

The fourth proportional to 513.63, 769.84 and 205.29 is: 307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.63 : 769.84 = 205.29 : x
  2. Step 2: Convert to fraction form
    513.63/769.84 = 205.29/x
  3. Step 3: Cross multiply
    513.63x = 769.84 × 205.29
  4. Step 4: Simplify right side
    513.63x = 158,039.94
  5. Step 5: Solve for x
    x = 158,039.94/513.63
  6. Step 6: Final answer
    x = 307.69

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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.