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Finding the Fourth Proportional to 512.63, 769.25 and 204.62

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Solution

The fourth proportional to 512.63, 769.25 and 204.62 is: 307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.63 : 769.25 = 204.62 : x
  2. Step 2: Convert to fraction form
    512.63/769.25 = 204.62/x
  3. Step 3: Cross multiply
    512.63x = 769.25 × 204.62
  4. Step 4: Simplify right side
    512.63x = 157,399.07
  5. Step 5: Solve for x
    x = 157,399.07/512.63
  6. Step 6: Final answer
    x = 307.05

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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.