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Finding the Fourth Proportional to 323.75, 446.36 and 264.67

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Solution

The fourth proportional to 323.75, 446.36 and 264.67 is: 364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.75 : 446.36 = 264.67 : x
  2. Step 2: Convert to fraction form
    323.75/446.36 = 264.67/x
  3. Step 3: Cross multiply
    323.75x = 446.36 × 264.67
  4. Step 4: Simplify right side
    323.75x = 118,138.76
  5. Step 5: Solve for x
    x = 118,138.76/323.75
  6. Step 6: Final answer
    x = 364.91

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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.