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Finding the Fourth Proportional to 589.08, 884.05 and 224.58

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Solution

The fourth proportional to 589.08, 884.05 and 224.58 is: 337.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.08 : 884.05 = 224.58 : x
  2. Step 2: Convert to fraction form
    589.08/884.05 = 224.58/x
  3. Step 3: Cross multiply
    589.08x = 884.05 × 224.58
  4. Step 4: Simplify right side
    589.08x = 198,536.09
  5. Step 5: Solve for x
    x = 198,536.09/589.08
  6. Step 6: Final answer
    x = 337.03

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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.