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Finding the Fourth Proportional to 299.12, 446.74 and 282.56

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Solution

The fourth proportional to 299.12, 446.74 and 282.56 is: 422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 446.74 = 282.56 : x
  2. Step 2: Convert to fraction form
    299.12/446.74 = 282.56/x
  3. Step 3: Cross multiply
    299.12x = 446.74 × 282.56
  4. Step 4: Simplify right side
    299.12x = 126,230.85
  5. Step 5: Solve for x
    x = 126,230.85/299.12
  6. Step 6: Final answer
    x = 422.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.