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Finding the Fourth Proportional to 433.98, 650.12 and 411.84

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Solution

The fourth proportional to 433.98, 650.12 and 411.84 is: 616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 650.12 = 411.84 : x
  2. Step 2: Convert to fraction form
    433.98/650.12 = 411.84/x
  3. Step 3: Cross multiply
    433.98x = 650.12 × 411.84
  4. Step 4: Simplify right side
    433.98x = 267,745.42
  5. Step 5: Solve for x
    x = 267,745.42/433.98
  6. Step 6: Final answer
    x = 616.95

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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.