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Finding the Fourth Proportional to 548.73, 823.10 and 224.01

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Solution

The fourth proportional to 548.73, 823.10 and 224.01 is: 336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.73 : 823.10 = 224.01 : x
  2. Step 2: Convert to fraction form
    548.73/823.10 = 224.01/x
  3. Step 3: Cross multiply
    548.73x = 823.10 × 224.01
  4. Step 4: Simplify right side
    548.73x = 184,381.51
  5. Step 5: Solve for x
    x = 184,381.51/548.73
  6. Step 6: Final answer
    x = 336.02

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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.