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Finding the Fourth Proportional to 589.88, 884.91 and 178.97

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Solution

The fourth proportional to 589.88, 884.91 and 178.97 is: 268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 884.91 = 178.97 : x
  2. Step 2: Convert to fraction form
    589.88/884.91 = 178.97/x
  3. Step 3: Cross multiply
    589.88x = 884.91 × 178.97
  4. Step 4: Simplify right side
    589.88x = 158,374.55
  5. Step 5: Solve for x
    x = 158,374.55/589.88
  6. Step 6: Final answer
    x = 268.48

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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.