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Finding the Fourth Proportional to 548.26, 823.75 and 486.82

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Solution

The fourth proportional to 548.26, 823.75 and 486.82 is: 731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.26 : 823.75 = 486.82 : x
  2. Step 2: Convert to fraction form
    548.26/823.75 = 486.82/x
  3. Step 3: Cross multiply
    548.26x = 823.75 × 486.82
  4. Step 4: Simplify right side
    548.26x = 401,017.98
  5. Step 5: Solve for x
    x = 401,017.98/548.26
  6. Step 6: Final answer
    x = 731.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.