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Finding the Fourth Proportional to 366.85, 505.74 and 323.11

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Solution

The fourth proportional to 366.85, 505.74 and 323.11 is: 445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.85 : 505.74 = 323.11 : x
  2. Step 2: Convert to fraction form
    366.85/505.74 = 323.11/x
  3. Step 3: Cross multiply
    366.85x = 505.74 × 323.11
  4. Step 4: Simplify right side
    366.85x = 163,409.65
  5. Step 5: Solve for x
    x = 163,409.65/366.85
  6. Step 6: Final answer
    x = 445.44

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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.