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Finding the Fourth Proportional to 490.42, 734.82 and 216.10

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Solution

The fourth proportional to 490.42, 734.82 and 216.10 is: 323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 734.82 = 216.10 : x
  2. Step 2: Convert to fraction form
    490.42/734.82 = 216.10/x
  3. Step 3: Cross multiply
    490.42x = 734.82 × 216.10
  4. Step 4: Simplify right side
    490.42x = 158,794.60
  5. Step 5: Solve for x
    x = 158,794.60/490.42
  6. Step 6: Final answer
    x = 323.79

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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.