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Finding the Fourth Proportional to 422.28, 582.84 and 275.16

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Solution

The fourth proportional to 422.28, 582.84 and 275.16 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.28 : 582.84 = 275.16 : x
  2. Step 2: Convert to fraction form
    422.28/582.84 = 275.16/x
  3. Step 3: Cross multiply
    422.28x = 582.84 × 275.16
  4. Step 4: Simplify right side
    422.28x = 160,374.25
  5. Step 5: Solve for x
    x = 160,374.25/422.28
  6. Step 6: Final answer
    x = 379.78

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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.