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Finding the Fourth Proportional to 433.09, 649.13 and 224.27

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Solution

The fourth proportional to 433.09, 649.13 and 224.27 is: 336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.09 : 649.13 = 224.27 : x
  2. Step 2: Convert to fraction form
    433.09/649.13 = 224.27/x
  3. Step 3: Cross multiply
    433.09x = 649.13 × 224.27
  4. Step 4: Simplify right side
    433.09x = 145,577.14
  5. Step 5: Solve for x
    x = 145,577.14/433.09
  6. Step 6: Final answer
    x = 336.14

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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.