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Finding the Fourth Proportional to 433.21, 649.91 and 227.74

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Solution

The fourth proportional to 433.21, 649.91 and 227.74 is: 341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.21 : 649.91 = 227.74 : x
  2. Step 2: Convert to fraction form
    433.21/649.91 = 227.74/x
  3. Step 3: Cross multiply
    433.21x = 649.91 × 227.74
  4. Step 4: Simplify right side
    433.21x = 148,006.12
  5. Step 5: Solve for x
    x = 148,006.12/433.21
  6. Step 6: Final answer
    x = 341.65

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Why These Related Problems?

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