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Finding the Fourth Proportional to 445.19, 668.22 and 323.69

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Solution

The fourth proportional to 445.19, 668.22 and 323.69 is: 485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.19 : 668.22 = 323.69 : x
  2. Step 2: Convert to fraction form
    445.19/668.22 = 323.69/x
  3. Step 3: Cross multiply
    445.19x = 668.22 × 323.69
  4. Step 4: Simplify right side
    445.19x = 216,292.79
  5. Step 5: Solve for x
    x = 216,292.79/445.19
  6. Step 6: Final answer
    x = 485.85

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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.