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Finding the Fourth Proportional to 512.73, 769.46 and 204.67

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Solution

The fourth proportional to 512.73, 769.46 and 204.67 is: 307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 769.46 = 204.67 : x
  2. Step 2: Convert to fraction form
    512.73/769.46 = 204.67/x
  3. Step 3: Cross multiply
    512.73x = 769.46 × 204.67
  4. Step 4: Simplify right side
    512.73x = 157,485.02
  5. Step 5: Solve for x
    x = 157,485.02/512.73
  6. Step 6: Final answer
    x = 307.15

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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.