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Finding the Fourth Proportional to 324.02, 446.28 and 236.54

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Solution

The fourth proportional to 324.02, 446.28 and 236.54 is: 325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.02 : 446.28 = 236.54 : x
  2. Step 2: Convert to fraction form
    324.02/446.28 = 236.54/x
  3. Step 3: Cross multiply
    324.02x = 446.28 × 236.54
  4. Step 4: Simplify right side
    324.02x = 105,563.07
  5. Step 5: Solve for x
    x = 105,563.07/324.02
  6. Step 6: Final answer
    x = 325.79

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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.