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Finding the Fourth Proportional to 433.68, 649.32 and 331.40

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Solution

The fourth proportional to 433.68, 649.32 and 331.40 is: 496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 649.32 = 331.40 : x
  2. Step 2: Convert to fraction form
    433.68/649.32 = 331.40/x
  3. Step 3: Cross multiply
    433.68x = 649.32 × 331.40
  4. Step 4: Simplify right side
    433.68x = 215,184.65
  5. Step 5: Solve for x
    x = 215,184.65/433.68
  6. Step 6: Final answer
    x = 496.18

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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.