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Finding the Fourth Proportional to 324.30, 485.97 and 238.38

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Solution

The fourth proportional to 324.30, 485.97 and 238.38 is: 357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 485.97 = 238.38 : x
  2. Step 2: Convert to fraction form
    324.30/485.97 = 238.38/x
  3. Step 3: Cross multiply
    324.30x = 485.97 × 238.38
  4. Step 4: Simplify right side
    324.30x = 115,845.53
  5. Step 5: Solve for x
    x = 115,845.53/324.30
  6. Step 6: Final answer
    x = 357.22

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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.