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Finding the Fourth Proportional to 548.30, 822.56 and 329.12

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Solution

The fourth proportional to 548.30, 822.56 and 329.12 is: 493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.30 : 822.56 = 329.12 : x
  2. Step 2: Convert to fraction form
    548.30/822.56 = 329.12/x
  3. Step 3: Cross multiply
    548.30x = 822.56 × 329.12
  4. Step 4: Simplify right side
    548.30x = 270,720.95
  5. Step 5: Solve for x
    x = 270,720.95/548.30
  6. Step 6: Final answer
    x = 493.75

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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.