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Finding the Fourth Proportional to 433.96, 649.72 and 331.68

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Solution

The fourth proportional to 433.96, 649.72 and 331.68 is: 496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 649.72 = 331.68 : x
  2. Step 2: Convert to fraction form
    433.96/649.72 = 331.68/x
  3. Step 3: Cross multiply
    433.96x = 649.72 × 331.68
  4. Step 4: Simplify right side
    433.96x = 215,499.13
  5. Step 5: Solve for x
    x = 215,499.13/433.96
  6. Step 6: Final answer
    x = 496.59

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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.