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Finding the Fourth Proportional to 433.26, 649.14 and 311.28

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Solution

The fourth proportional to 433.26, 649.14 and 311.28 is: 466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 649.14 = 311.28 : x
  2. Step 2: Convert to fraction form
    433.26/649.14 = 311.28/x
  3. Step 3: Cross multiply
    433.26x = 649.14 × 311.28
  4. Step 4: Simplify right side
    433.26x = 202,064.30
  5. Step 5: Solve for x
    x = 202,064.30/433.26
  6. Step 6: Final answer
    x = 466.38

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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.