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Finding the Fourth Proportional to 511.99, 768.08 and 203.72

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Solution

The fourth proportional to 511.99, 768.08 and 203.72 is: 305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.99 : 768.08 = 203.72 : x
  2. Step 2: Convert to fraction form
    511.99/768.08 = 203.72/x
  3. Step 3: Cross multiply
    511.99x = 768.08 × 203.72
  4. Step 4: Simplify right side
    511.99x = 156,469.93
  5. Step 5: Solve for x
    x = 156,469.93/511.99
  6. Step 6: Final answer
    x = 305.61

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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.