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Finding the Fourth Proportional to 640.90, 884.43 and 361.13

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Solution

The fourth proportional to 640.90, 884.43 and 361.13 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.90 : 884.43 = 361.13 : x
  2. Step 2: Convert to fraction form
    640.90/884.43 = 361.13/x
  3. Step 3: Cross multiply
    640.90x = 884.43 × 361.13
  4. Step 4: Simplify right side
    640.90x = 319,394.21
  5. Step 5: Solve for x
    x = 319,394.21/640.90
  6. Step 6: Final answer
    x = 498.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.