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Finding the Fourth Proportional to 589.32, 884.11 and 204.57

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Solution

The fourth proportional to 589.32, 884.11 and 204.57 is: 306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 884.11 = 204.57 : x
  2. Step 2: Convert to fraction form
    589.32/884.11 = 204.57/x
  3. Step 3: Cross multiply
    589.32x = 884.11 × 204.57
  4. Step 4: Simplify right side
    589.32x = 180,862.38
  5. Step 5: Solve for x
    x = 180,862.38/589.32
  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.