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Finding the Fourth Proportional to 548.28, 821.22 and 457.56

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Solution

The fourth proportional to 548.28, 821.22 and 457.56 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.28 : 821.22 = 457.56 : x
  2. Step 2: Convert to fraction form
    548.28/821.22 = 457.56/x
  3. Step 3: Cross multiply
    548.28x = 821.22 × 457.56
  4. Step 4: Simplify right side
    548.28x = 375,757.42
  5. Step 5: Solve for x
    x = 375,757.42/548.28
  6. Step 6: Final answer
    x = 685.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.