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Finding the Fourth Proportional to 589.66, 884.50 and 224.39

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Solution

The fourth proportional to 589.66, 884.50 and 224.39 is: 336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.66 : 884.50 = 224.39 : x
  2. Step 2: Convert to fraction form
    589.66/884.50 = 224.39/x
  3. Step 3: Cross multiply
    589.66x = 884.50 × 224.39
  4. Step 4: Simplify right side
    589.66x = 198,474.61
  5. Step 5: Solve for x
    x = 198,474.61/589.66
  6. Step 6: Final answer
    x = 336.59

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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.