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Finding the Fourth Proportional to 548.10, 757.37 and 408.78

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Solution

The fourth proportional to 548.10, 757.37 and 408.78 is: 564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 757.37 = 408.78 : x
  2. Step 2: Convert to fraction form
    548.10/757.37 = 408.78/x
  3. Step 3: Cross multiply
    548.10x = 757.37 × 408.78
  4. Step 4: Simplify right side
    548.10x = 309,597.71
  5. Step 5: Solve for x
    x = 309,597.71/548.10
  6. Step 6: Final answer
    x = 564.86

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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.