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Finding the Fourth Proportional to 402.23, 600.48 and 343.83

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Solution

The fourth proportional to 402.23, 600.48 and 343.83 is: 513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 600.48 = 343.83 : x
  2. Step 2: Convert to fraction form
    402.23/600.48 = 343.83/x
  3. Step 3: Cross multiply
    402.23x = 600.48 × 343.83
  4. Step 4: Simplify right side
    402.23x = 206,463.04
  5. Step 5: Solve for x
    x = 206,463.04/402.23
  6. Step 6: Final answer
    x = 513.30

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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.