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Finding the Fourth Proportional to 421.97, 582.28 and 235.43

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Solution

The fourth proportional to 421.97, 582.28 and 235.43 is: 324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.97 : 582.28 = 235.43 : x
  2. Step 2: Convert to fraction form
    421.97/582.28 = 235.43/x
  3. Step 3: Cross multiply
    421.97x = 582.28 × 235.43
  4. Step 4: Simplify right side
    421.97x = 137,086.18
  5. Step 5: Solve for x
    x = 137,086.18/421.97
  6. Step 6: Final answer
    x = 324.87

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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.