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Finding the Fourth Proportional to 655.43, 983.31 and 193.22

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Solution

The fourth proportional to 655.43, 983.31 and 193.22 is: 289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.43 : 983.31 = 193.22 : x
  2. Step 2: Convert to fraction form
    655.43/983.31 = 193.22/x
  3. Step 3: Cross multiply
    655.43x = 983.31 × 193.22
  4. Step 4: Simplify right side
    655.43x = 189,990.24
  5. Step 5: Solve for x
    x = 189,990.24/655.43
  6. Step 6: Final answer
    x = 289.87

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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.