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Finding the Fourth Proportional to 589.67, 884.65 and 178.79

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Solution

The fourth proportional to 589.67, 884.65 and 178.79 is: 268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.67 : 884.65 = 178.79 : x
  2. Step 2: Convert to fraction form
    589.67/884.65 = 178.79/x
  3. Step 3: Cross multiply
    589.67x = 884.65 × 178.79
  4. Step 4: Simplify right side
    589.67x = 158,162.37
  5. Step 5: Solve for x
    x = 158,162.37/589.67
  6. Step 6: Final answer
    x = 268.22

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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.