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Finding the Fourth Proportional to 301.29, 451.88 and 293.92

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Solution

The fourth proportional to 301.29, 451.88 and 293.92 is: 440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.29 : 451.88 = 293.92 : x
  2. Step 2: Convert to fraction form
    301.29/451.88 = 293.92/x
  3. Step 3: Cross multiply
    301.29x = 451.88 × 293.92
  4. Step 4: Simplify right side
    301.29x = 132,816.57
  5. Step 5: Solve for x
    x = 132,816.57/301.29
  6. Step 6: Final answer
    x = 440.83

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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.