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Finding the Fourth Proportional to 639.38, 882.34 and 359.60

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Solution

The fourth proportional to 639.38, 882.34 and 359.60 is: 496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.38 : 882.34 = 359.60 : x
  2. Step 2: Convert to fraction form
    639.38/882.34 = 359.60/x
  3. Step 3: Cross multiply
    639.38x = 882.34 × 359.60
  4. Step 4: Simplify right side
    639.38x = 317,289.46
  5. Step 5: Solve for x
    x = 317,289.46/639.38
  6. Step 6: Final answer
    x = 496.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.