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Finding the Fourth Proportional to 548.37, 821.34 and 537.30

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Solution

The fourth proportional to 548.37, 821.34 and 537.30 is: 804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.37 : 821.34 = 537.30 : x
  2. Step 2: Convert to fraction form
    548.37/821.34 = 537.30/x
  3. Step 3: Cross multiply
    548.37x = 821.34 × 537.30
  4. Step 4: Simplify right side
    548.37x = 441,305.98
  5. Step 5: Solve for x
    x = 441,305.98/548.37
  6. Step 6: Final answer
    x = 804.76

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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.