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Finding the Fourth Proportional to 441.73, 609.65 and 301.99

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Solution

The fourth proportional to 441.73, 609.65 and 301.99 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.73 : 609.65 = 301.99 : x
  2. Step 2: Convert to fraction form
    441.73/609.65 = 301.99/x
  3. Step 3: Cross multiply
    441.73x = 609.65 × 301.99
  4. Step 4: Simplify right side
    441.73x = 184,106.69
  5. Step 5: Solve for x
    x = 184,106.69/441.73
  6. Step 6: Final answer
    x = 416.79

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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.