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Finding the Fourth Proportional to 402.03, 600.31 and 379.22

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Solution

The fourth proportional to 402.03, 600.31 and 379.22 is: 566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.03 : 600.31 = 379.22 : x
  2. Step 2: Convert to fraction form
    402.03/600.31 = 379.22/x
  3. Step 3: Cross multiply
    402.03x = 600.31 × 379.22
  4. Step 4: Simplify right side
    402.03x = 227,647.03
  5. Step 5: Solve for x
    x = 227,647.03/402.03
  6. Step 6: Final answer
    x = 566.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.