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Finding the Fourth Proportional to 323.18, 481.62 and 313.82

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Solution

The fourth proportional to 323.18, 481.62 and 313.82 is: 467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.18 : 481.62 = 313.82 : x
  2. Step 2: Convert to fraction form
    323.18/481.62 = 313.82/x
  3. Step 3: Cross multiply
    323.18x = 481.62 × 313.82
  4. Step 4: Simplify right side
    323.18x = 151,141.99
  5. Step 5: Solve for x
    x = 151,141.99/323.18
  6. Step 6: Final answer
    x = 467.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.