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Finding the Fourth Proportional to 401.09, 600.48 and 298.85

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Solution

The fourth proportional to 401.09, 600.48 and 298.85 is: 447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.09 : 600.48 = 298.85 : x
  2. Step 2: Convert to fraction form
    401.09/600.48 = 298.85/x
  3. Step 3: Cross multiply
    401.09x = 600.48 × 298.85
  4. Step 4: Simplify right side
    401.09x = 179,450.45
  5. Step 5: Solve for x
    x = 179,450.45/401.09
  6. Step 6: Final answer
    x = 447.41

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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.