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Finding the Fourth Proportional to 324.06, 446.85 and 241.26

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Solution

The fourth proportional to 324.06, 446.85 and 241.26 is: 332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.06 : 446.85 = 241.26 : x
  2. Step 2: Convert to fraction form
    324.06/446.85 = 241.26/x
  3. Step 3: Cross multiply
    324.06x = 446.85 × 241.26
  4. Step 4: Simplify right side
    324.06x = 107,807.03
  5. Step 5: Solve for x
    x = 107,807.03/324.06
  6. Step 6: Final answer
    x = 332.68

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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.