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Finding the Fourth Proportional to 298.07, 446.72 and 216.09

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Solution

The fourth proportional to 298.07, 446.72 and 216.09 is: 323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.07 : 446.72 = 216.09 : x
  2. Step 2: Convert to fraction form
    298.07/446.72 = 216.09/x
  3. Step 3: Cross multiply
    298.07x = 446.72 × 216.09
  4. Step 4: Simplify right side
    298.07x = 96,531.72
  5. Step 5: Solve for x
    x = 96,531.72/298.07
  6. Step 6: Final answer
    x = 323.86

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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.