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Finding the Fourth Proportional to 324.41, 447.89 and 214.07

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Solution

The fourth proportional to 324.41, 447.89 and 214.07 is: 295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.41 : 447.89 = 214.07 : x
  2. Step 2: Convert to fraction form
    324.41/447.89 = 214.07/x
  3. Step 3: Cross multiply
    324.41x = 447.89 × 214.07
  4. Step 4: Simplify right side
    324.41x = 95,879.81
  5. Step 5: Solve for x
    x = 95,879.81/324.41
  6. Step 6: Final answer
    x = 295.55

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