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Finding the Fourth Proportional to 517.63, 713.97 and 331.04

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Solution

The fourth proportional to 517.63, 713.97 and 331.04 is: 456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.63 : 713.97 = 331.04 : x
  2. Step 2: Convert to fraction form
    517.63/713.97 = 331.04/x
  3. Step 3: Cross multiply
    517.63x = 713.97 × 331.04
  4. Step 4: Simplify right side
    517.63x = 236,351.33
  5. Step 5: Solve for x
    x = 236,351.33/517.63
  6. Step 6: Final answer
    x = 456.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.