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Finding the Fourth Proportional to 640.88, 884.42 and 364.88

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Solution

The fourth proportional to 640.88, 884.42 and 364.88 is: 503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.88 : 884.42 = 364.88 : x
  2. Step 2: Convert to fraction form
    640.88/884.42 = 364.88/x
  3. Step 3: Cross multiply
    640.88x = 884.42 × 364.88
  4. Step 4: Simplify right side
    640.88x = 322,700.92
  5. Step 5: Solve for x
    x = 322,700.92/640.88
  6. Step 6: Final answer
    x = 503.53

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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.