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Finding the Fourth Proportional to 639.60, 882.72 and 359.84

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Solution

The fourth proportional to 639.60, 882.72 and 359.84 is: 496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.60 : 882.72 = 359.84 : x
  2. Step 2: Convert to fraction form
    639.60/882.72 = 359.84/x
  3. Step 3: Cross multiply
    639.60x = 882.72 × 359.84
  4. Step 4: Simplify right side
    639.60x = 317,638.84
  5. Step 5: Solve for x
    x = 317,638.84/639.60
  6. Step 6: Final answer
    x = 496.62

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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.