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Finding the Fourth Proportional to 402.75, 603.69 and 197.03

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Solution

The fourth proportional to 402.75, 603.69 and 197.03 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 603.69 = 197.03 : x
  2. Step 2: Convert to fraction form
    402.75/603.69 = 197.03/x
  3. Step 3: Cross multiply
    402.75x = 603.69 × 197.03
  4. Step 4: Simplify right side
    402.75x = 118,944.02
  5. Step 5: Solve for x
    x = 118,944.02/402.75
  6. Step 6: Final answer
    x = 295.33

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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.