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Finding the Fourth Proportional to 513.55, 769.83 and 205.30

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Solution

The fourth proportional to 513.55, 769.83 and 205.30 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.55 : 769.83 = 205.30 : x
  2. Step 2: Convert to fraction form
    513.55/769.83 = 205.30/x
  3. Step 3: Cross multiply
    513.55x = 769.83 × 205.30
  4. Step 4: Simplify right side
    513.55x = 158,046.10
  5. Step 5: Solve for x
    x = 158,046.10/513.55
  6. Step 6: Final answer
    x = 307.75

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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.