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Finding the Fourth Proportional to 324.27, 486.41 and 187.20

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Solution

The fourth proportional to 324.27, 486.41 and 187.20 is: 280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.27 : 486.41 = 187.20 : x
  2. Step 2: Convert to fraction form
    324.27/486.41 = 187.20/x
  3. Step 3: Cross multiply
    324.27x = 486.41 × 187.20
  4. Step 4: Simplify right side
    324.27x = 91,055.02
  5. Step 5: Solve for x
    x = 91,055.02/324.27
  6. Step 6: Final answer
    x = 280.80

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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.