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Finding the Fourth Proportional to 421.97, 582.30 and 232.92

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Solution

The fourth proportional to 421.97, 582.30 and 232.92 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.97 : 582.30 = 232.92 : x
  2. Step 2: Convert to fraction form
    421.97/582.30 = 232.92/x
  3. Step 3: Cross multiply
    421.97x = 582.30 × 232.92
  4. Step 4: Simplify right side
    421.97x = 135,629.32
  5. Step 5: Solve for x
    x = 135,629.32/421.97
  6. Step 6: Final answer
    x = 321.42

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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.