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Finding the Fourth Proportional to 589.96, 884.22 and 345.97

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Solution

The fourth proportional to 589.96, 884.22 and 345.97 is: 518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.96 : 884.22 = 345.97 : x
  2. Step 2: Convert to fraction form
    589.96/884.22 = 345.97/x
  3. Step 3: Cross multiply
    589.96x = 884.22 × 345.97
  4. Step 4: Simplify right side
    589.96x = 305,913.59
  5. Step 5: Solve for x
    x = 305,913.59/589.96
  6. Step 6: Final answer
    x = 518.53

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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.