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Finding the Fourth Proportional to 422.75, 582.63 and 374.42

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Solution

The fourth proportional to 422.75, 582.63 and 374.42 is: 516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 582.63 = 374.42 : x
  2. Step 2: Convert to fraction form
    422.75/582.63 = 374.42/x
  3. Step 3: Cross multiply
    422.75x = 582.63 × 374.42
  4. Step 4: Simplify right side
    422.75x = 218,145.41
  5. Step 5: Solve for x
    x = 218,145.41/422.75
  6. Step 6: Final answer
    x = 516.02

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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.