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Finding the Fourth Proportional to 640.89, 884.37 and 419.49

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Solution

The fourth proportional to 640.89, 884.37 and 419.49 is: 578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.89 : 884.37 = 419.49 : x
  2. Step 2: Convert to fraction form
    640.89/884.37 = 419.49/x
  3. Step 3: Cross multiply
    640.89x = 884.37 × 419.49
  4. Step 4: Simplify right side
    640.89x = 370,984.37
  5. Step 5: Solve for x
    x = 370,984.37/640.89
  6. Step 6: Final answer
    x = 578.86

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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.