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Finding the Fourth Proportional to 617.13, 850.77 and 467.69

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Solution

The fourth proportional to 617.13, 850.77 and 467.69 is: 644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.13 : 850.77 = 467.69 : x
  2. Step 2: Convert to fraction form
    617.13/850.77 = 467.69/x
  3. Step 3: Cross multiply
    617.13x = 850.77 × 467.69
  4. Step 4: Simplify right side
    617.13x = 397,892.37
  5. Step 5: Solve for x
    x = 397,892.37/617.13
  6. Step 6: Final answer
    x = 644.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.