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Finding the Fourth Proportional to 655.98, 984.12 and 223.14

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Solution

The fourth proportional to 655.98, 984.12 and 223.14 is: 334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.98 : 984.12 = 223.14 : x
  2. Step 2: Convert to fraction form
    655.98/984.12 = 223.14/x
  3. Step 3: Cross multiply
    655.98x = 984.12 × 223.14
  4. Step 4: Simplify right side
    655.98x = 219,596.54
  5. Step 5: Solve for x
    x = 219,596.54/655.98
  6. Step 6: Final answer
    x = 334.76

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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.