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Finding the Fourth Proportional to 441.64, 609.70 and 301.96

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Solution

The fourth proportional to 441.64, 609.70 and 301.96 is: 416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.64 : 609.70 = 301.96 : x
  2. Step 2: Convert to fraction form
    441.64/609.70 = 301.96/x
  3. Step 3: Cross multiply
    441.64x = 609.70 × 301.96
  4. Step 4: Simplify right side
    441.64x = 184,105.01
  5. Step 5: Solve for x
    x = 184,105.01/441.64
  6. Step 6: Final answer
    x = 416.87

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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.