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Finding the Fourth Proportional to 496.39, 742.34 and 379.29

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Solution

The fourth proportional to 496.39, 742.34 and 379.29 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.39 : 742.34 = 379.29 : x
  2. Step 2: Convert to fraction form
    496.39/742.34 = 379.29/x
  3. Step 3: Cross multiply
    496.39x = 742.34 × 379.29
  4. Step 4: Simplify right side
    496.39x = 281,560.28
  5. Step 5: Solve for x
    x = 281,560.28/496.39
  6. Step 6: Final answer
    x = 567.22

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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.