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Finding the Fourth Proportional to 548.15, 822.44 and 329.18

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Solution

The fourth proportional to 548.15, 822.44 and 329.18 is: 493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.15 : 822.44 = 329.18 : x
  2. Step 2: Convert to fraction form
    548.15/822.44 = 329.18/x
  3. Step 3: Cross multiply
    548.15x = 822.44 × 329.18
  4. Step 4: Simplify right side
    548.15x = 270,731.21
  5. Step 5: Solve for x
    x = 270,731.21/548.15
  6. Step 6: Final answer
    x = 493.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.