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Finding the Fourth Proportional to 324.57, 485.91 and 252.21

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Solution

The fourth proportional to 324.57, 485.91 and 252.21 is: 377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.57 : 485.91 = 252.21 : x
  2. Step 2: Convert to fraction form
    324.57/485.91 = 252.21/x
  3. Step 3: Cross multiply
    324.57x = 485.91 × 252.21
  4. Step 4: Simplify right side
    324.57x = 122,551.36
  5. Step 5: Solve for x
    x = 122,551.36/324.57
  6. Step 6: Final answer
    x = 377.58

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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.