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Finding the Fourth Proportional to 321.06, 481.13 and 304.65

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Solution

The fourth proportional to 321.06, 481.13 and 304.65 is: 456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.06 : 481.13 = 304.65 : x
  2. Step 2: Convert to fraction form
    321.06/481.13 = 304.65/x
  3. Step 3: Cross multiply
    321.06x = 481.13 × 304.65
  4. Step 4: Simplify right side
    321.06x = 146,574.73
  5. Step 5: Solve for x
    x = 146,574.73/321.06
  6. Step 6: Final answer
    x = 456.53

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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.