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Finding the Fourth Proportional to 639.50, 959.07 and 206.60

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Solution

The fourth proportional to 639.50, 959.07 and 206.60 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.50 : 959.07 = 206.60 : x
  2. Step 2: Convert to fraction form
    639.50/959.07 = 206.60/x
  3. Step 3: Cross multiply
    639.50x = 959.07 × 206.60
  4. Step 4: Simplify right side
    639.50x = 198,143.86
  5. Step 5: Solve for x
    x = 198,143.86/639.50
  6. Step 6: Final answer
    x = 309.84

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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.