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Finding the Fourth Proportional to 427.30, 640.63 and 196.03

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Solution

The fourth proportional to 427.30, 640.63 and 196.03 is: 293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.30 : 640.63 = 196.03 : x
  2. Step 2: Convert to fraction form
    427.30/640.63 = 196.03/x
  3. Step 3: Cross multiply
    427.30x = 640.63 × 196.03
  4. Step 4: Simplify right side
    427.30x = 125,579.04
  5. Step 5: Solve for x
    x = 125,579.04/427.30
  6. Step 6: Final answer
    x = 293.89

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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.