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Finding the Fourth Proportional to 324.74, 446.36 and 287.72

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Solution

The fourth proportional to 324.74, 446.36 and 287.72 is: 395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.74 : 446.36 = 287.72 : x
  2. Step 2: Convert to fraction form
    324.74/446.36 = 287.72/x
  3. Step 3: Cross multiply
    324.74x = 446.36 × 287.72
  4. Step 4: Simplify right side
    324.74x = 128,426.70
  5. Step 5: Solve for x
    x = 128,426.70/324.74
  6. Step 6: Final answer
    x = 395.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.