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Finding the Fourth Proportional to 401.97, 603.05 and 196.64

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Solution

The fourth proportional to 401.97, 603.05 and 196.64 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.97 : 603.05 = 196.64 : x
  2. Step 2: Convert to fraction form
    401.97/603.05 = 196.64/x
  3. Step 3: Cross multiply
    401.97x = 603.05 × 196.64
  4. Step 4: Simplify right side
    401.97x = 118,579.75
  5. Step 5: Solve for x
    x = 118,579.75/401.97
  6. Step 6: Final answer
    x = 295.00

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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.