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Finding the Fourth Proportional to 589.47, 884.33 and 178.57

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Solution

The fourth proportional to 589.47, 884.33 and 178.57 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.47 : 884.33 = 178.57 : x
  2. Step 2: Convert to fraction form
    589.47/884.33 = 178.57/x
  3. Step 3: Cross multiply
    589.47x = 884.33 × 178.57
  4. Step 4: Simplify right side
    589.47x = 157,914.81
  5. Step 5: Solve for x
    x = 157,914.81/589.47
  6. Step 6: Final answer
    x = 267.89

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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.