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Finding the Fourth Proportional to 641.10, 884.73 and 361.32

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Solution

The fourth proportional to 641.10, 884.73 and 361.32 is: 498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.10 : 884.73 = 361.32 : x
  2. Step 2: Convert to fraction form
    641.10/884.73 = 361.32/x
  3. Step 3: Cross multiply
    641.10x = 884.73 × 361.32
  4. Step 4: Simplify right side
    641.10x = 319,670.64
  5. Step 5: Solve for x
    x = 319,670.64/641.10
  6. Step 6: Final answer
    x = 498.63

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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.