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Finding the Fourth Proportional to 441.11, 609.15 and 293.83

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Solution

The fourth proportional to 441.11, 609.15 and 293.83 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.11 : 609.15 = 293.83 : x
  2. Step 2: Convert to fraction form
    441.11/609.15 = 293.83/x
  3. Step 3: Cross multiply
    441.11x = 609.15 × 293.83
  4. Step 4: Simplify right side
    441.11x = 178,986.12
  5. Step 5: Solve for x
    x = 178,986.12/441.11
  6. Step 6: Final answer
    x = 405.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.