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Finding the Fourth Proportional to 300.96, 450.81 and 228.78

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Solution

The fourth proportional to 300.96, 450.81 and 228.78 is: 342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.96 : 450.81 = 228.78 : x
  2. Step 2: Convert to fraction form
    300.96/450.81 = 228.78/x
  3. Step 3: Cross multiply
    300.96x = 450.81 × 228.78
  4. Step 4: Simplify right side
    300.96x = 103,136.31
  5. Step 5: Solve for x
    x = 103,136.31/300.96
  6. Step 6: Final answer
    x = 342.69

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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.