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Finding the Fourth Proportional to 324.23, 486.36 and 170.24

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Solution

The fourth proportional to 324.23, 486.36 and 170.24 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.23 : 486.36 = 170.24 : x
  2. Step 2: Convert to fraction form
    324.23/486.36 = 170.24/x
  3. Step 3: Cross multiply
    324.23x = 486.36 × 170.24
  4. Step 4: Simplify right side
    324.23x = 82,795.49
  5. Step 5: Solve for x
    x = 82,795.49/324.23
  6. Step 6: Final answer
    x = 255.36

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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.