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Finding the Fourth Proportional to 640.09, 883.67 and 419.37

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Solution

The fourth proportional to 640.09, 883.67 and 419.37 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.09 : 883.67 = 419.37 : x
  2. Step 2: Convert to fraction form
    640.09/883.67 = 419.37/x
  3. Step 3: Cross multiply
    640.09x = 883.67 × 419.37
  4. Step 4: Simplify right side
    640.09x = 370,584.69
  5. Step 5: Solve for x
    x = 370,584.69/640.09
  6. Step 6: Final answer
    x = 578.96

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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.