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Finding the Fourth Proportional to 655.94, 984.04 and 223.14

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Solution

The fourth proportional to 655.94, 984.04 and 223.14 is: 334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.94 : 984.04 = 223.14 : x
  2. Step 2: Convert to fraction form
    655.94/984.04 = 223.14/x
  3. Step 3: Cross multiply
    655.94x = 984.04 × 223.14
  4. Step 4: Simplify right side
    655.94x = 219,578.69
  5. Step 5: Solve for x
    x = 219,578.69/655.94
  6. Step 6: Final answer
    x = 334.75

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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.