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Finding the Fourth Proportional to 422.68, 582.20 and 356.20

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Solution

The fourth proportional to 422.68, 582.20 and 356.20 is: 490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.68 : 582.20 = 356.20 : x
  2. Step 2: Convert to fraction form
    422.68/582.20 = 356.20/x
  3. Step 3: Cross multiply
    422.68x = 582.20 × 356.20
  4. Step 4: Simplify right side
    422.68x = 207,379.64
  5. Step 5: Solve for x
    x = 207,379.64/422.68
  6. Step 6: Final answer
    x = 490.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.