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Finding the Fourth Proportional to 548.55, 823.07 and 298.46

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Solution

The fourth proportional to 548.55, 823.07 and 298.46 is: 447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.55 : 823.07 = 298.46 : x
  2. Step 2: Convert to fraction form
    548.55/823.07 = 298.46/x
  3. Step 3: Cross multiply
    548.55x = 823.07 × 298.46
  4. Step 4: Simplify right side
    548.55x = 245,654.04
  5. Step 5: Solve for x
    x = 245,654.04/548.55
  6. Step 6: Final answer
    x = 447.82

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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.