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Finding the Fourth Proportional to 641.09, 884.73 and 361.31

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Solution

The fourth proportional to 641.09, 884.73 and 361.31 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.09 : 884.73 = 361.31 : x
  2. Step 2: Convert to fraction form
    641.09/884.73 = 361.31/x
  3. Step 3: Cross multiply
    641.09x = 884.73 × 361.31
  4. Step 4: Simplify right side
    641.09x = 319,657.37
  5. Step 5: Solve for x
    x = 319,657.37/641.09
  6. Step 6: Final answer
    x = 498.62

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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.