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Finding the Fourth Proportional to 577, 796.44 and 422.20

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Solution

The fourth proportional to 577, 796.44 and 422.20 is: 582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577 : 796.44 = 422.20 : x
  2. Step 2: Convert to fraction form
    577/796.44 = 422.20/x
  3. Step 3: Cross multiply
    577x = 796.44 × 422.20
  4. Step 4: Simplify right side
    577x = 336,256.97
  5. Step 5: Solve for x
    x = 336,256.97/577
  6. Step 6: Final answer
    x = 582.77

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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.