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Finding the Fourth Proportional to 552.40, 828.42 and 223.25

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Solution

The fourth proportional to 552.40, 828.42 and 223.25 is: 334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.40 : 828.42 = 223.25 : x
  2. Step 2: Convert to fraction form
    552.40/828.42 = 223.25/x
  3. Step 3: Cross multiply
    552.40x = 828.42 × 223.25
  4. Step 4: Simplify right side
    552.40x = 184,945.72
  5. Step 5: Solve for x
    x = 184,945.72/552.40
  6. Step 6: Final answer
    x = 334.80

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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.