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Finding the Fourth Proportional to 589.97, 884.26 and 224.41

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Solution

The fourth proportional to 589.97, 884.26 and 224.41 is: 336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.97 : 884.26 = 224.41 : x
  2. Step 2: Convert to fraction form
    589.97/884.26 = 224.41/x
  3. Step 3: Cross multiply
    589.97x = 884.26 × 224.41
  4. Step 4: Simplify right side
    589.97x = 198,434.01
  5. Step 5: Solve for x
    x = 198,434.01/589.97
  6. Step 6: Final answer
    x = 336.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.