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Finding the Fourth Proportional to 548.80, 756.89 and 362.22

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Solution

The fourth proportional to 548.80, 756.89 and 362.22 is: 499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 756.89 = 362.22 : x
  2. Step 2: Convert to fraction form
    548.80/756.89 = 362.22/x
  3. Step 3: Cross multiply
    548.80x = 756.89 × 362.22
  4. Step 4: Simplify right side
    548.80x = 274,160.70
  5. Step 5: Solve for x
    x = 274,160.70/548.80
  6. Step 6: Final answer
    x = 499.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.