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Finding the Fourth Proportional to 548.74, 823.12 and 206.50

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Solution

The fourth proportional to 548.74, 823.12 and 206.50 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.74 : 823.12 = 206.50 : x
  2. Step 2: Convert to fraction form
    548.74/823.12 = 206.50/x
  3. Step 3: Cross multiply
    548.74x = 823.12 × 206.50
  4. Step 4: Simplify right side
    548.74x = 169,974.28
  5. Step 5: Solve for x
    x = 169,974.28/548.74
  6. Step 6: Final answer
    x = 309.75

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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.