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Finding the Fourth Proportional to 589.87, 884.81 and 179.03

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Solution

The fourth proportional to 589.87, 884.81 and 179.03 is: 268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.87 : 884.81 = 179.03 : x
  2. Step 2: Convert to fraction form
    589.87/884.81 = 179.03/x
  3. Step 3: Cross multiply
    589.87x = 884.81 × 179.03
  4. Step 4: Simplify right side
    589.87x = 158,407.53
  5. Step 5: Solve for x
    x = 158,407.53/589.87
  6. Step 6: Final answer
    x = 268.55

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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.