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Finding the Fourth Proportional to 511.86, 768.06 and 306.30

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Solution

The fourth proportional to 511.86, 768.06 and 306.30 is: 459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 768.06 = 306.30 : x
  2. Step 2: Convert to fraction form
    511.86/768.06 = 306.30/x
  3. Step 3: Cross multiply
    511.86x = 768.06 × 306.30
  4. Step 4: Simplify right side
    511.86x = 235,256.78
  5. Step 5: Solve for x
    x = 235,256.78/511.86
  6. Step 6: Final answer
    x = 459.61

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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.