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Finding the Fourth Proportional to 324.88, 447.83 and 231.53

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Solution

The fourth proportional to 324.88, 447.83 and 231.53 is: 319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.88 : 447.83 = 231.53 : x
  2. Step 2: Convert to fraction form
    324.88/447.83 = 231.53/x
  3. Step 3: Cross multiply
    324.88x = 447.83 × 231.53
  4. Step 4: Simplify right side
    324.88x = 103,683.55
  5. Step 5: Solve for x
    x = 103,683.55/324.88
  6. Step 6: Final answer
    x = 319.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.