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Finding the Fourth Proportional to 640.73, 884.21 and 361.01

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Solution

The fourth proportional to 640.73, 884.21 and 361.01 is: 498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.73 : 884.21 = 361.01 : x
  2. Step 2: Convert to fraction form
    640.73/884.21 = 361.01/x
  3. Step 3: Cross multiply
    640.73x = 884.21 × 361.01
  4. Step 4: Simplify right side
    640.73x = 319,208.65
  5. Step 5: Solve for x
    x = 319,208.65/640.73
  6. Step 6: Final answer
    x = 498.20

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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.