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Finding the Fourth Proportional to 548.25, 822.74 and 206.25

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Solution

The fourth proportional to 548.25, 822.74 and 206.25 is: 309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.25 : 822.74 = 206.25 : x
  2. Step 2: Convert to fraction form
    548.25/822.74 = 206.25/x
  3. Step 3: Cross multiply
    548.25x = 822.74 × 206.25
  4. Step 4: Simplify right side
    548.25x = 169,689.09
  5. Step 5: Solve for x
    x = 169,689.09/548.25
  6. Step 6: Final answer
    x = 309.51

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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.