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Finding the Fourth Proportional to 639.48, 882.42 and 377.46

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Solution

The fourth proportional to 639.48, 882.42 and 377.46 is: 520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.48 : 882.42 = 377.46 : x
  2. Step 2: Convert to fraction form
    639.48/882.42 = 377.46/x
  3. Step 3: Cross multiply
    639.48x = 882.42 × 377.46
  4. Step 4: Simplify right side
    639.48x = 333,078.25
  5. Step 5: Solve for x
    x = 333,078.25/639.48
  6. Step 6: Final answer
    x = 520.86

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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.