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Finding the Fourth Proportional to 640.37, 884.26 and 404.73

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Solution

The fourth proportional to 640.37, 884.26 and 404.73 is: 558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.37 : 884.26 = 404.73 : x
  2. Step 2: Convert to fraction form
    640.37/884.26 = 404.73/x
  3. Step 3: Cross multiply
    640.37x = 884.26 × 404.73
  4. Step 4: Simplify right side
    640.37x = 357,880.10
  5. Step 5: Solve for x
    x = 357,880.10/640.37
  6. Step 6: Final answer
    x = 558.87

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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.