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Finding the Fourth Proportional to 298.40, 446.67 and 216.18

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Solution

The fourth proportional to 298.40, 446.67 and 216.18 is: 323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.40 : 446.67 = 216.18 : x
  2. Step 2: Convert to fraction form
    298.40/446.67 = 216.18/x
  3. Step 3: Cross multiply
    298.40x = 446.67 × 216.18
  4. Step 4: Simplify right side
    298.40x = 96,561.12
  5. Step 5: Solve for x
    x = 96,561.12/298.40
  6. Step 6: Final answer
    x = 323.60

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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.