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Finding the Fourth Proportional to 548.05, 821.97 and 457.33

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Solution

The fourth proportional to 548.05, 821.97 and 457.33 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.05 : 821.97 = 457.33 : x
  2. Step 2: Convert to fraction form
    548.05/821.97 = 457.33/x
  3. Step 3: Cross multiply
    548.05x = 821.97 × 457.33
  4. Step 4: Simplify right side
    548.05x = 375,911.54
  5. Step 5: Solve for x
    x = 375,911.54/548.05
  6. Step 6: Final answer
    x = 685.91

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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.