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Finding the Fourth Proportional to 324.09, 485.33 and 201.98

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Solution

The fourth proportional to 324.09, 485.33 and 201.98 is: 302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 485.33 = 201.98 : x
  2. Step 2: Convert to fraction form
    324.09/485.33 = 201.98/x
  3. Step 3: Cross multiply
    324.09x = 485.33 × 201.98
  4. Step 4: Simplify right side
    324.09x = 98,027.16
  5. Step 5: Solve for x
    x = 98,027.16/324.09
  6. Step 6: Final answer
    x = 302.47

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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.