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Finding the Fourth Proportional to 512.12, 767.15 and 396.15

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Solution

The fourth proportional to 512.12, 767.15 and 396.15 is: 593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.12 : 767.15 = 396.15 : x
  2. Step 2: Convert to fraction form
    512.12/767.15 = 396.15/x
  3. Step 3: Cross multiply
    512.12x = 767.15 × 396.15
  4. Step 4: Simplify right side
    512.12x = 303,904.49
  5. Step 5: Solve for x
    x = 303,904.49/512.12
  6. Step 6: Final answer
    x = 593.43

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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.