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Finding the Fourth Proportional to 589.74, 884.42 and 178.80

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Solution

The fourth proportional to 589.74, 884.42 and 178.80 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.74 : 884.42 = 178.80 : x
  2. Step 2: Convert to fraction form
    589.74/884.42 = 178.80/x
  3. Step 3: Cross multiply
    589.74x = 884.42 × 178.80
  4. Step 4: Simplify right side
    589.74x = 158,134.30
  5. Step 5: Solve for x
    x = 158,134.30/589.74
  6. Step 6: Final answer
    x = 268.14

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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.