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Finding the Fourth Proportional to 641.12, 884.66 and 361.32

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Solution

The fourth proportional to 641.12, 884.66 and 361.32 is: 498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.12 : 884.66 = 361.32 : x
  2. Step 2: Convert to fraction form
    641.12/884.66 = 361.32/x
  3. Step 3: Cross multiply
    641.12x = 884.66 × 361.32
  4. Step 4: Simplify right side
    641.12x = 319,645.35
  5. Step 5: Solve for x
    x = 319,645.35/641.12
  6. Step 6: Final answer
    x = 498.57

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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.