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Finding the Fourth Proportional to 640.77, 961.22 and 172.32

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Solution

The fourth proportional to 640.77, 961.22 and 172.32 is: 258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.77 : 961.22 = 172.32 : x
  2. Step 2: Convert to fraction form
    640.77/961.22 = 172.32/x
  3. Step 3: Cross multiply
    640.77x = 961.22 × 172.32
  4. Step 4: Simplify right side
    640.77x = 165,633.29
  5. Step 5: Solve for x
    x = 165,633.29/640.77
  6. Step 6: Final answer
    x = 258.49

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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.