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Finding the Fourth Proportional to 548.68, 823.07 and 173.41

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Solution

The fourth proportional to 548.68, 823.07 and 173.41 is: 260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.68 : 823.07 = 173.41 : x
  2. Step 2: Convert to fraction form
    548.68/823.07 = 173.41/x
  3. Step 3: Cross multiply
    548.68x = 823.07 × 173.41
  4. Step 4: Simplify right side
    548.68x = 142,728.57
  5. Step 5: Solve for x
    x = 142,728.57/548.68
  6. Step 6: Final answer
    x = 260.13

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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.