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Finding the Fourth Proportional to 411.38, 617.00 and 289.28

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Solution

The fourth proportional to 411.38, 617.00 and 289.28 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.38 : 617.00 = 289.28 : x
  2. Step 2: Convert to fraction form
    411.38/617.00 = 289.28/x
  3. Step 3: Cross multiply
    411.38x = 617.00 × 289.28
  4. Step 4: Simplify right side
    411.38x = 178,481.23
  5. Step 5: Solve for x
    x = 178,481.23/411.38
  6. Step 6: Final answer
    x = 433.87

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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.