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Finding the Fourth Proportional to 513.20, 768.36 and 431.48

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Solution

The fourth proportional to 513.20, 768.36 and 431.48 is: 646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 768.36 = 431.48 : x
  2. Step 2: Convert to fraction form
    513.20/768.36 = 431.48/x
  3. Step 3: Cross multiply
    513.20x = 768.36 × 431.48
  4. Step 4: Simplify right side
    513.20x = 331,531.97
  5. Step 5: Solve for x
    x = 331,531.97/513.20
  6. Step 6: Final answer
    x = 646.01

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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.