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Finding the Fourth Proportional to 433.20, 649.84 and 227.88

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Solution

The fourth proportional to 433.20, 649.84 and 227.88 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 649.84 = 227.88 : x
  2. Step 2: Convert to fraction form
    433.20/649.84 = 227.88/x
  3. Step 3: Cross multiply
    433.20x = 649.84 × 227.88
  4. Step 4: Simplify right side
    433.20x = 148,085.54
  5. Step 5: Solve for x
    x = 148,085.54/433.20
  6. Step 6: Final answer
    x = 341.84

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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.