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Finding the Fourth Proportional to 655.57, 983.12 and 222.63

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Solution

The fourth proportional to 655.57, 983.12 and 222.63 is: 333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.57 : 983.12 = 222.63 : x
  2. Step 2: Convert to fraction form
    655.57/983.12 = 222.63/x
  3. Step 3: Cross multiply
    655.57x = 983.12 × 222.63
  4. Step 4: Simplify right side
    655.57x = 218,868.46
  5. Step 5: Solve for x
    x = 218,868.46/655.57
  6. Step 6: Final answer
    x = 333.86

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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.