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Finding the Fourth Proportional to 323.24, 445.75 and 276.77

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Solution

The fourth proportional to 323.24, 445.75 and 276.77 is: 381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.24 : 445.75 = 276.77 : x
  2. Step 2: Convert to fraction form
    323.24/445.75 = 276.77/x
  3. Step 3: Cross multiply
    323.24x = 445.75 × 276.77
  4. Step 4: Simplify right side
    323.24x = 123,370.65
  5. Step 5: Solve for x
    x = 123,370.65/323.24
  6. Step 6: Final answer
    x = 381.67

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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.