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Finding the Fourth Proportional to 548.70, 822.43 and 483.76

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Solution

The fourth proportional to 548.70, 822.43 and 483.76 is: 725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 822.43 = 483.76 : x
  2. Step 2: Convert to fraction form
    548.70/822.43 = 483.76/x
  3. Step 3: Cross multiply
    548.70x = 822.43 × 483.76
  4. Step 4: Simplify right side
    548.70x = 397,858.74
  5. Step 5: Solve for x
    x = 397,858.74/548.70
  6. Step 6: Final answer
    x = 725.09

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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.