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Finding the Fourth Proportional to 589.43, 884.19 and 178.58

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Solution

The fourth proportional to 589.43, 884.19 and 178.58 is: 267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.43 : 884.19 = 178.58 : x
  2. Step 2: Convert to fraction form
    589.43/884.19 = 178.58/x
  3. Step 3: Cross multiply
    589.43x = 884.19 × 178.58
  4. Step 4: Simplify right side
    589.43x = 157,898.65
  5. Step 5: Solve for x
    x = 157,898.65/589.43
  6. Step 6: Final answer
    x = 267.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.