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Finding the Fourth Proportional to 548.37, 822.02 and 314.42

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Solution

The fourth proportional to 548.37, 822.02 and 314.42 is: 471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.37 : 822.02 = 314.42 : x
  2. Step 2: Convert to fraction form
    548.37/822.02 = 314.42/x
  3. Step 3: Cross multiply
    548.37x = 822.02 × 314.42
  4. Step 4: Simplify right side
    548.37x = 258,453.85
  5. Step 5: Solve for x
    x = 258,453.85/548.37
  6. Step 6: Final answer
    x = 471.31

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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.