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Finding the Fourth Proportional to 367.58, 548.68 and 343.28

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Solution

The fourth proportional to 367.58, 548.68 and 343.28 is: 512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.58 : 548.68 = 343.28 : x
  2. Step 2: Convert to fraction form
    367.58/548.68 = 343.28/x
  3. Step 3: Cross multiply
    367.58x = 548.68 × 343.28
  4. Step 4: Simplify right side
    367.58x = 188,350.87
  5. Step 5: Solve for x
    x = 188,350.87/367.58
  6. Step 6: Final answer
    x = 512.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.