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Finding the Fourth Proportional to 411.38, 617.17 and 377.63

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Solution

The fourth proportional to 411.38, 617.17 and 377.63 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.38 : 617.17 = 377.63 : x
  2. Step 2: Convert to fraction form
    411.38/617.17 = 377.63/x
  3. Step 3: Cross multiply
    411.38x = 617.17 × 377.63
  4. Step 4: Simplify right side
    411.38x = 233,061.91
  5. Step 5: Solve for x
    x = 233,061.91/411.38
  6. Step 6: Final answer
    x = 566.54

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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.