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Finding the Fourth Proportional to 512.00, 768.00 and 203.77

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Solution

The fourth proportional to 512.00, 768.00 and 203.77 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.00 : 768.00 = 203.77 : x
  2. Step 2: Convert to fraction form
    512.00/768.00 = 203.77/x
  3. Step 3: Cross multiply
    512.00x = 768.00 × 203.77
  4. Step 4: Simplify right side
    512.00x = 156,497.08
  5. Step 5: Solve for x
    x = 156,497.08/512.00
  6. Step 6: Final answer
    x = 305.66

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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.