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Finding the Fourth Proportional to 301.05, 449.33 and 293.76

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Solution

The fourth proportional to 301.05, 449.33 and 293.76 is: 438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.05 : 449.33 = 293.76 : x
  2. Step 2: Convert to fraction form
    301.05/449.33 = 293.76/x
  3. Step 3: Cross multiply
    301.05x = 449.33 × 293.76
  4. Step 4: Simplify right side
    301.05x = 131,993.71
  5. Step 5: Solve for x
    x = 131,993.71/301.05
  6. Step 6: Final answer
    x = 438.44

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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.