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Finding the Fourth Proportional to 517.23, 712.96 and 392.38

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Solution

The fourth proportional to 517.23, 712.96 and 392.38 is: 540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.23 : 712.96 = 392.38 : x
  2. Step 2: Convert to fraction form
    517.23/712.96 = 392.38/x
  3. Step 3: Cross multiply
    517.23x = 712.96 × 392.38
  4. Step 4: Simplify right side
    517.23x = 279,751.24
  5. Step 5: Solve for x
    x = 279,751.24/517.23
  6. Step 6: Final answer
    x = 540.86

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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.