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Finding the Fourth Proportional to 617.72, 927.17 and 367.83

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Solution

The fourth proportional to 617.72, 927.17 and 367.83 is: 552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.72 : 927.17 = 367.83 : x
  2. Step 2: Convert to fraction form
    617.72/927.17 = 367.83/x
  3. Step 3: Cross multiply
    617.72x = 927.17 × 367.83
  4. Step 4: Simplify right side
    617.72x = 341,039.10
  5. Step 5: Solve for x
    x = 341,039.10/617.72
  6. Step 6: Final answer
    x = 552.10

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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.