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Finding the Fourth Proportional to 640.77, 961.89 and 432.73

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Solution

The fourth proportional to 640.77, 961.89 and 432.73 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.77 : 961.89 = 432.73 : x
  2. Step 2: Convert to fraction form
    640.77/961.89 = 432.73/x
  3. Step 3: Cross multiply
    640.77x = 961.89 × 432.73
  4. Step 4: Simplify right side
    640.77x = 416,238.66
  5. Step 5: Solve for x
    x = 416,238.66/640.77
  6. Step 6: Final answer
    x = 649.59

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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.