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Finding the Fourth Proportional to 411.52, 617.28 and 289.84

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Solution

The fourth proportional to 411.52, 617.28 and 289.84 is: 434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.52 : 617.28 = 289.84 : x
  2. Step 2: Convert to fraction form
    411.52/617.28 = 289.84/x
  3. Step 3: Cross multiply
    411.52x = 617.28 × 289.84
  4. Step 4: Simplify right side
    411.52x = 178,912.44
  5. Step 5: Solve for x
    x = 178,912.44/411.52
  6. Step 6: Final answer
    x = 434.76

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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.