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Finding the Fourth Proportional to 655.67, 983.21 and 193.29

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Solution

The fourth proportional to 655.67, 983.21 and 193.29 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.67 : 983.21 = 193.29 : x
  2. Step 2: Convert to fraction form
    655.67/983.21 = 193.29/x
  3. Step 3: Cross multiply
    655.67x = 983.21 × 193.29
  4. Step 4: Simplify right side
    655.67x = 190,042.69
  5. Step 5: Solve for x
    x = 190,042.69/655.67
  6. Step 6: Final answer
    x = 289.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.