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Finding the Fourth Proportional to 639.78, 882.83 and 359.99

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Solution

The fourth proportional to 639.78, 882.83 and 359.99 is: 496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.78 : 882.83 = 359.99 : x
  2. Step 2: Convert to fraction form
    639.78/882.83 = 359.99/x
  3. Step 3: Cross multiply
    639.78x = 882.83 × 359.99
  4. Step 4: Simplify right side
    639.78x = 317,803.76
  5. Step 5: Solve for x
    x = 317,803.76/639.78
  6. Step 6: Final answer
    x = 496.74

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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.