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Finding the Fourth Proportional to 589.51, 884.14 and 178.55

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Solution

The fourth proportional to 589.51, 884.14 and 178.55 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.51 : 884.14 = 178.55 : x
  2. Step 2: Convert to fraction form
    589.51/884.14 = 178.55/x
  3. Step 3: Cross multiply
    589.51x = 884.14 × 178.55
  4. Step 4: Simplify right side
    589.51x = 157,861.43
  5. Step 5: Solve for x
    x = 157,861.43/589.51
  6. Step 6: Final answer
    x = 267.79

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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.