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Finding the Fourth Proportional to 536.44, 804.30 and 343.96

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Solution

The fourth proportional to 536.44, 804.30 and 343.96 is: 515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 804.30 = 343.96 : x
  2. Step 2: Convert to fraction form
    536.44/804.30 = 343.96/x
  3. Step 3: Cross multiply
    536.44x = 804.30 × 343.96
  4. Step 4: Simplify right side
    536.44x = 276,647.03
  5. Step 5: Solve for x
    x = 276,647.03/536.44
  6. Step 6: Final answer
    x = 515.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.