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Finding the Fourth Proportional to 441.86, 609.72 and 336.69

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Solution

The fourth proportional to 441.86, 609.72 and 336.69 is: 464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.86 : 609.72 = 336.69 : x
  2. Step 2: Convert to fraction form
    441.86/609.72 = 336.69/x
  3. Step 3: Cross multiply
    441.86x = 609.72 × 336.69
  4. Step 4: Simplify right side
    441.86x = 205,286.63
  5. Step 5: Solve for x
    x = 205,286.63/441.86
  6. Step 6: Final answer
    x = 464.60

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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.