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Finding the Fourth Proportional to 639.82, 882.79 and 360

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Solution

The fourth proportional to 639.82, 882.79 and 360 is: 496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.82 : 882.79 = 360 : x
  2. Step 2: Convert to fraction form
    639.82/882.79 = 360/x
  3. Step 3: Cross multiply
    639.82x = 882.79 × 360
  4. Step 4: Simplify right side
    639.82x = 317,804.40
  5. Step 5: Solve for x
    x = 317,804.40/639.82
  6. Step 6: Final answer
    x = 496.71

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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.