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Finding the Fourth Proportional to 610.86, 843.32 and 422.03

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Solution

The fourth proportional to 610.86, 843.32 and 422.03 is: 582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.86 : 843.32 = 422.03 : x
  2. Step 2: Convert to fraction form
    610.86/843.32 = 422.03/x
  3. Step 3: Cross multiply
    610.86x = 843.32 × 422.03
  4. Step 4: Simplify right side
    610.86x = 355,900.01
  5. Step 5: Solve for x
    x = 355,900.01/610.86
  6. Step 6: Final answer
    x = 582.62

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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.