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Finding the Fourth Proportional to 548, 822.21 and 255.63

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Solution

The fourth proportional to 548, 822.21 and 255.63 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    548 : 822.21 = 255.63 : x
  2. Step 2: Convert to fraction form
    548/822.21 = 255.63/x
  3. Step 3: Cross multiply
    548x = 822.21 × 255.63
  4. Step 4: Simplify right side
    548x = 210,181.54
  5. Step 5: Solve for x
    x = 210,181.54/548
  6. Step 6: Final answer
    x = 383.54

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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.