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Finding the Fourth Proportional to 517.38, 713.88 and 293.33

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Solution

The fourth proportional to 517.38, 713.88 and 293.33 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 713.88 = 293.33 : x
  2. Step 2: Convert to fraction form
    517.38/713.88 = 293.33/x
  3. Step 3: Cross multiply
    517.38x = 713.88 × 293.33
  4. Step 4: Simplify right side
    517.38x = 209,398.85
  5. Step 5: Solve for x
    x = 209,398.85/517.38
  6. Step 6: Final answer
    x = 404.73

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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.