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Finding the Fourth Proportional to 323.45, 485.93 and 305.97

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Solution

The fourth proportional to 323.45, 485.93 and 305.97 is: 459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.45 : 485.93 = 305.97 : x
  2. Step 2: Convert to fraction form
    323.45/485.93 = 305.97/x
  3. Step 3: Cross multiply
    323.45x = 485.93 × 305.97
  4. Step 4: Simplify right side
    323.45x = 148,680.00
  5. Step 5: Solve for x
    x = 148,680.00/323.45
  6. Step 6: Final answer
    x = 459.67

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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.