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Finding the Fourth Proportional to 324.09, 488.04 and 233.43

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Solution

The fourth proportional to 324.09, 488.04 and 233.43 is: 351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 488.04 = 233.43 : x
  2. Step 2: Convert to fraction form
    324.09/488.04 = 233.43/x
  3. Step 3: Cross multiply
    324.09x = 488.04 × 233.43
  4. Step 4: Simplify right side
    324.09x = 113,923.18
  5. Step 5: Solve for x
    x = 113,923.18/324.09
  6. Step 6: Final answer
    x = 351.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.