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Finding the Fourth Proportional to 641.01, 884.59 and 361.24

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Solution

The fourth proportional to 641.01, 884.59 and 361.24 is: 498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.01 : 884.59 = 361.24 : x
  2. Step 2: Convert to fraction form
    641.01/884.59 = 361.24/x
  3. Step 3: Cross multiply
    641.01x = 884.59 × 361.24
  4. Step 4: Simplify right side
    641.01x = 319,546.18
  5. Step 5: Solve for x
    x = 319,546.18/641.01
  6. Step 6: Final answer
    x = 498.50

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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.