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Finding the Fourth Proportional to 685.46, 1,027.97 and 223.12

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Solution

The fourth proportional to 685.46, 1,027.97 and 223.12 is: 334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.46 : 1,027.97 = 223.12 : x
  2. Step 2: Convert to fraction form
    685.46/1,027.97 = 223.12/x
  3. Step 3: Cross multiply
    685.46x = 1,027.97 × 223.12
  4. Step 4: Simplify right side
    685.46x = 229,362.93
  5. Step 5: Solve for x
    x = 229,362.93/685.46
  6. Step 6: Final answer
    x = 334.61

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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.