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Finding the Fourth Proportional to 589.36, 884.20 and 204.56

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Solution

The fourth proportional to 589.36, 884.20 and 204.56 is: 306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.36 : 884.20 = 204.56 : x
  2. Step 2: Convert to fraction form
    589.36/884.20 = 204.56/x
  3. Step 3: Cross multiply
    589.36x = 884.20 × 204.56
  4. Step 4: Simplify right side
    589.36x = 180,871.95
  5. Step 5: Solve for x
    x = 180,871.95/589.36
  6. Step 6: Final answer
    x = 306.90

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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.