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Finding the Fourth Proportional to 324.09, 446.37 and 271.53

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Solution

The fourth proportional to 324.09, 446.37 and 271.53 is: 373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 446.37 = 271.53 : x
  2. Step 2: Convert to fraction form
    324.09/446.37 = 271.53/x
  3. Step 3: Cross multiply
    324.09x = 446.37 × 271.53
  4. Step 4: Simplify right side
    324.09x = 121,202.85
  5. Step 5: Solve for x
    x = 121,202.85/324.09
  6. Step 6: Final answer
    x = 373.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.