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Finding the Fourth Proportional to 655.29, 982.23 and 289.37

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Solution

The fourth proportional to 655.29, 982.23 and 289.37 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.29 : 982.23 = 289.37 : x
  2. Step 2: Convert to fraction form
    655.29/982.23 = 289.37/x
  3. Step 3: Cross multiply
    655.29x = 982.23 × 289.37
  4. Step 4: Simplify right side
    655.29x = 284,229.27
  5. Step 5: Solve for x
    x = 284,229.27/655.29
  6. Step 6: Final answer
    x = 433.75

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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.