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Finding the Fourth Proportional to 512.60, 767.49 and 396.06

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Solution

The fourth proportional to 512.60, 767.49 and 396.06 is: 593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.60 : 767.49 = 396.06 : x
  2. Step 2: Convert to fraction form
    512.60/767.49 = 396.06/x
  3. Step 3: Cross multiply
    512.60x = 767.49 × 396.06
  4. Step 4: Simplify right side
    512.60x = 303,972.09
  5. Step 5: Solve for x
    x = 303,972.09/512.60
  6. Step 6: Final answer
    x = 593.01

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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.