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Finding the Fourth Proportional to 589.80, 884.87 and 224.63

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Solution

The fourth proportional to 589.80, 884.87 and 224.63 is: 337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 884.87 = 224.63 : x
  2. Step 2: Convert to fraction form
    589.80/884.87 = 224.63/x
  3. Step 3: Cross multiply
    589.80x = 884.87 × 224.63
  4. Step 4: Simplify right side
    589.80x = 198,768.35
  5. Step 5: Solve for x
    x = 198,768.35/589.80
  6. Step 6: Final answer
    x = 337.01

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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.