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Finding the Fourth Proportional to 548.45, 822.83 and 224.05

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Solution

The fourth proportional to 548.45, 822.83 and 224.05 is: 336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.45 : 822.83 = 224.05 : x
  2. Step 2: Convert to fraction form
    548.45/822.83 = 224.05/x
  3. Step 3: Cross multiply
    548.45x = 822.83 × 224.05
  4. Step 4: Simplify right side
    548.45x = 184,355.06
  5. Step 5: Solve for x
    x = 184,355.06/548.45
  6. Step 6: Final answer
    x = 336.14

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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.