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Finding the Fourth Proportional to 301.28, 449.60 and 299.61

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Solution

The fourth proportional to 301.28, 449.60 and 299.61 is: 447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.28 : 449.60 = 299.61 : x
  2. Step 2: Convert to fraction form
    301.28/449.60 = 299.61/x
  3. Step 3: Cross multiply
    301.28x = 449.60 × 299.61
  4. Step 4: Simplify right side
    301.28x = 134,703.16
  5. Step 5: Solve for x
    x = 134,703.16/301.28
  6. Step 6: Final answer
    x = 447.11

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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.