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Finding the Fourth Proportional to 589.69, 884.46 and 178.86

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Solution

The fourth proportional to 589.69, 884.46 and 178.86 is: 268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.69 : 884.46 = 178.86 : x
  2. Step 2: Convert to fraction form
    589.69/884.46 = 178.86/x
  3. Step 3: Cross multiply
    589.69x = 884.46 × 178.86
  4. Step 4: Simplify right side
    589.69x = 158,194.52
  5. Step 5: Solve for x
    x = 158,194.52/589.69
  6. Step 6: Final answer
    x = 268.27

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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.