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Finding the Fourth Proportional to 539.28, 743.40 and 422.64

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Solution

The fourth proportional to 539.28, 743.40 and 422.64 is: 582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.28 : 743.40 = 422.64 : x
  2. Step 2: Convert to fraction form
    539.28/743.40 = 422.64/x
  3. Step 3: Cross multiply
    539.28x = 743.40 × 422.64
  4. Step 4: Simplify right side
    539.28x = 314,190.58
  5. Step 5: Solve for x
    x = 314,190.58/539.28
  6. Step 6: Final answer
    x = 582.61

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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.