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Finding the Fourth Proportional to 324.86, 448.09 and 237.38

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Solution

The fourth proportional to 324.86, 448.09 and 237.38 is: 327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.86 : 448.09 = 237.38 : x
  2. Step 2: Convert to fraction form
    324.86/448.09 = 237.38/x
  3. Step 3: Cross multiply
    324.86x = 448.09 × 237.38
  4. Step 4: Simplify right side
    324.86x = 106,364.77
  5. Step 5: Solve for x
    x = 106,364.77/324.86
  6. Step 6: Final answer
    x = 327.42

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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.