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Finding the Fourth Proportional to 427.07, 640.34 and 196.03

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Solution

The fourth proportional to 427.07, 640.34 and 196.03 is: 293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.07 : 640.34 = 196.03 : x
  2. Step 2: Convert to fraction form
    427.07/640.34 = 196.03/x
  3. Step 3: Cross multiply
    427.07x = 640.34 × 196.03
  4. Step 4: Simplify right side
    427.07x = 125,527.14
  5. Step 5: Solve for x
    x = 125,527.14/427.07
  6. Step 6: Final answer
    x = 293.92

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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.