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Finding the Fourth Proportional to 548.70, 757.21 and 300.02

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Solution

The fourth proportional to 548.70, 757.21 and 300.02 is: 414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 757.21 = 300.02 : x
  2. Step 2: Convert to fraction form
    548.70/757.21 = 300.02/x
  3. Step 3: Cross multiply
    548.70x = 757.21 × 300.02
  4. Step 4: Simplify right side
    548.70x = 227,172.86
  5. Step 5: Solve for x
    x = 227,172.86/548.70
  6. Step 6: Final answer
    x = 414.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.