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Finding the Fourth Proportional to 548.91, 757.84 and 408.87

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Solution

The fourth proportional to 548.91, 757.84 and 408.87 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.91 : 757.84 = 408.87 : x
  2. Step 2: Convert to fraction form
    548.91/757.84 = 408.87/x
  3. Step 3: Cross multiply
    548.91x = 757.84 × 408.87
  4. Step 4: Simplify right side
    548.91x = 309,858.04
  5. Step 5: Solve for x
    x = 309,858.04/548.91
  6. Step 6: Final answer
    x = 564.50

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Why These Related Problems?

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