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Finding the Fourth Proportional to 512.99, 768.38 and 318.05

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Solution

The fourth proportional to 512.99, 768.38 and 318.05 is: 476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.99 : 768.38 = 318.05 : x
  2. Step 2: Convert to fraction form
    512.99/768.38 = 318.05/x
  3. Step 3: Cross multiply
    512.99x = 768.38 × 318.05
  4. Step 4: Simplify right side
    512.99x = 244,377.83
  5. Step 5: Solve for x
    x = 244,377.83/512.99
  6. Step 6: Final answer
    x = 476.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.