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Finding the Fourth Proportional to 641.18, 884.74 and 361.37

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Solution

The fourth proportional to 641.18, 884.74 and 361.37 is: 498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.18 : 884.74 = 361.37 : x
  2. Step 2: Convert to fraction form
    641.18/884.74 = 361.37/x
  3. Step 3: Cross multiply
    641.18x = 884.74 × 361.37
  4. Step 4: Simplify right side
    641.18x = 319,718.49
  5. Step 5: Solve for x
    x = 319,718.49/641.18
  6. Step 6: Final answer
    x = 498.64

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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.