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Finding the Fourth Proportional to 512.02, 766.14 and 306.73

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Solution

The fourth proportional to 512.02, 766.14 and 306.73 is: 458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 766.14 = 306.73 : x
  2. Step 2: Convert to fraction form
    512.02/766.14 = 306.73/x
  3. Step 3: Cross multiply
    512.02x = 766.14 × 306.73
  4. Step 4: Simplify right side
    512.02x = 234,998.12
  5. Step 5: Solve for x
    x = 234,998.12/512.02
  6. Step 6: Final answer
    x = 458.96

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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.