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Finding the Fourth Proportional to 639.49, 959.12 and 223.08

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Solution

The fourth proportional to 639.49, 959.12 and 223.08 is: 334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.49 : 959.12 = 223.08 : x
  2. Step 2: Convert to fraction form
    639.49/959.12 = 223.08/x
  3. Step 3: Cross multiply
    639.49x = 959.12 × 223.08
  4. Step 4: Simplify right side
    639.49x = 213,959.37
  5. Step 5: Solve for x
    x = 213,959.37/639.49
  6. Step 6: Final answer
    x = 334.58

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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.