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Finding the Fourth Proportional to 324.66, 483.09 and 323.58

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Solution

The fourth proportional to 324.66, 483.09 and 323.58 is: 481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.66 : 483.09 = 323.58 : x
  2. Step 2: Convert to fraction form
    324.66/483.09 = 323.58/x
  3. Step 3: Cross multiply
    324.66x = 483.09 × 323.58
  4. Step 4: Simplify right side
    324.66x = 156,318.26
  5. Step 5: Solve for x
    x = 156,318.26/324.66
  6. Step 6: Final answer
    x = 481.48

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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.