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Finding the Fourth Proportional to 321.46, 480.66 and 248.26

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Solution

The fourth proportional to 321.46, 480.66 and 248.26 is: 371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.46 : 480.66 = 248.26 : x
  2. Step 2: Convert to fraction form
    321.46/480.66 = 248.26/x
  3. Step 3: Cross multiply
    321.46x = 480.66 × 248.26
  4. Step 4: Simplify right side
    321.46x = 119,328.65
  5. Step 5: Solve for x
    x = 119,328.65/321.46
  6. Step 6: Final answer
    x = 371.21

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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.