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Finding the Fourth Proportional to 639.63, 958.79 and 434.22

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Solution

The fourth proportional to 639.63, 958.79 and 434.22 is: 650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.63 : 958.79 = 434.22 : x
  2. Step 2: Convert to fraction form
    639.63/958.79 = 434.22/x
  3. Step 3: Cross multiply
    639.63x = 958.79 × 434.22
  4. Step 4: Simplify right side
    639.63x = 416,323.62
  5. Step 5: Solve for x
    x = 416,323.62/639.63
  6. Step 6: Final answer
    x = 650.88

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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.