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Finding the Fourth Proportional to 548.39, 822.89 and 446.94

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Solution

The fourth proportional to 548.39, 822.89 and 446.94 is: 670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.39 : 822.89 = 446.94 : x
  2. Step 2: Convert to fraction form
    548.39/822.89 = 446.94/x
  3. Step 3: Cross multiply
    548.39x = 822.89 × 446.94
  4. Step 4: Simplify right side
    548.39x = 367,783.57
  5. Step 5: Solve for x
    x = 367,783.57/548.39
  6. Step 6: Final answer
    x = 670.66

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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.