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Finding the Fourth Proportional to 639.75, 882.77 and 359.95

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Solution

The fourth proportional to 639.75, 882.77 and 359.95 is: 496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.75 : 882.77 = 359.95 : x
  2. Step 2: Convert to fraction form
    639.75/882.77 = 359.95/x
  3. Step 3: Cross multiply
    639.75x = 882.77 × 359.95
  4. Step 4: Simplify right side
    639.75x = 317,746.85
  5. Step 5: Solve for x
    x = 317,746.85/639.75
  6. Step 6: Final answer
    x = 496.68

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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.