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Finding the Fourth Proportional to 641.06, 884.61 and 361.34

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Solution

The fourth proportional to 641.06, 884.61 and 361.34 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.06 : 884.61 = 361.34 : x
  2. Step 2: Convert to fraction form
    641.06/884.61 = 361.34/x
  3. Step 3: Cross multiply
    641.06x = 884.61 × 361.34
  4. Step 4: Simplify right side
    641.06x = 319,644.98
  5. Step 5: Solve for x
    x = 319,644.98/641.06
  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.