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Finding the Fourth Proportional to 536.87, 804.38 and 228.56

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Solution

The fourth proportional to 536.87, 804.38 and 228.56 is: 342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.87 : 804.38 = 228.56 : x
  2. Step 2: Convert to fraction form
    536.87/804.38 = 228.56/x
  3. Step 3: Cross multiply
    536.87x = 804.38 × 228.56
  4. Step 4: Simplify right side
    536.87x = 183,843.93
  5. Step 5: Solve for x
    x = 183,843.93/536.87
  6. Step 6: Final answer
    x = 342.44

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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.