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Finding the Fourth Proportional to 548.86, 823.44 and 285.43

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Solution

The fourth proportional to 548.86, 823.44 and 285.43 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.86 : 823.44 = 285.43 : x
  2. Step 2: Convert to fraction form
    548.86/823.44 = 285.43/x
  3. Step 3: Cross multiply
    548.86x = 823.44 × 285.43
  4. Step 4: Simplify right side
    548.86x = 235,034.48
  5. Step 5: Solve for x
    x = 235,034.48/548.86
  6. Step 6: Final answer
    x = 428.22

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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.