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Finding the Fourth Proportional to 548.67, 823.23 and 305.18

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Solution

The fourth proportional to 548.67, 823.23 and 305.18 is: 457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.67 : 823.23 = 305.18 : x
  2. Step 2: Convert to fraction form
    548.67/823.23 = 305.18/x
  3. Step 3: Cross multiply
    548.67x = 823.23 × 305.18
  4. Step 4: Simplify right side
    548.67x = 251,229.22
  5. Step 5: Solve for x
    x = 251,229.22/548.67
  6. Step 6: Final answer
    x = 457.89

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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.