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Finding the Fourth Proportional to 433.18, 650.11 and 227.87

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Solution

The fourth proportional to 433.18, 650.11 and 227.87 is: 341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.18 : 650.11 = 227.87 : x
  2. Step 2: Convert to fraction form
    433.18/650.11 = 227.87/x
  3. Step 3: Cross multiply
    433.18x = 650.11 × 227.87
  4. Step 4: Simplify right side
    433.18x = 148,136.75
  5. Step 5: Solve for x
    x = 148,136.75/433.18
  6. Step 6: Final answer
    x = 341.98

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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.