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Finding the Fourth Proportional to 324.51, 486.09 and 233.40

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Solution

The fourth proportional to 324.51, 486.09 and 233.40 is: 349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.51 : 486.09 = 233.40 : x
  2. Step 2: Convert to fraction form
    324.51/486.09 = 233.40/x
  3. Step 3: Cross multiply
    324.51x = 486.09 × 233.40
  4. Step 4: Simplify right side
    324.51x = 113,453.41
  5. Step 5: Solve for x
    x = 113,453.41/324.51
  6. Step 6: Final answer
    x = 349.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.