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Finding the Fourth Proportional to 324.96, 486.80 and 233.44

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Solution

The fourth proportional to 324.96, 486.80 and 233.44 is: 349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.96 : 486.80 = 233.44 : x
  2. Step 2: Convert to fraction form
    324.96/486.80 = 233.44/x
  3. Step 3: Cross multiply
    324.96x = 486.80 × 233.44
  4. Step 4: Simplify right side
    324.96x = 113,638.59
  5. Step 5: Solve for x
    x = 113,638.59/324.96
  6. Step 6: Final answer
    x = 349.70

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