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Finding the Fourth Proportional to 589.45, 884.25 and 178.54

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Solution

The fourth proportional to 589.45, 884.25 and 178.54 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.45 : 884.25 = 178.54 : x
  2. Step 2: Convert to fraction form
    589.45/884.25 = 178.54/x
  3. Step 3: Cross multiply
    589.45x = 884.25 × 178.54
  4. Step 4: Simplify right side
    589.45x = 157,874.00
  5. Step 5: Solve for x
    x = 157,874.00/589.45
  6. Step 6: Final answer
    x = 267.83

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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.