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Finding the Fourth Proportional to 639.59, 882.43 and 359.78

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Solution

The fourth proportional to 639.59, 882.43 and 359.78 is: 496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.59 : 882.43 = 359.78 : x
  2. Step 2: Convert to fraction form
    639.59/882.43 = 359.78/x
  3. Step 3: Cross multiply
    639.59x = 882.43 × 359.78
  4. Step 4: Simplify right side
    639.59x = 317,475.35
  5. Step 5: Solve for x
    x = 317,475.35/639.59
  6. Step 6: Final answer
    x = 496.38

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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.