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Finding the Fourth Proportional to 433.67, 650.52 and 411.80

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Solution

The fourth proportional to 433.67, 650.52 and 411.80 is: 617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.67 : 650.52 = 411.80 : x
  2. Step 2: Convert to fraction form
    433.67/650.52 = 411.80/x
  3. Step 3: Cross multiply
    433.67x = 650.52 × 411.80
  4. Step 4: Simplify right side
    433.67x = 267,880.88
  5. Step 5: Solve for x
    x = 267,880.88/433.67
  6. Step 6: Final answer
    x = 617.71

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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.