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Finding the Fourth Proportional to 639.83, 882.89 and 360.02

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Solution

The fourth proportional to 639.83, 882.89 and 360.02 is: 496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.83 : 882.89 = 360.02 : x
  2. Step 2: Convert to fraction form
    639.83/882.89 = 360.02/x
  3. Step 3: Cross multiply
    639.83x = 882.89 × 360.02
  4. Step 4: Simplify right side
    639.83x = 317,851.84
  5. Step 5: Solve for x
    x = 317,851.84/639.83
  6. Step 6: Final answer
    x = 496.78

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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.