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Finding the Fourth Proportional to 367.60, 548.72 and 343.28

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Solution

The fourth proportional to 367.60, 548.72 and 343.28 is: 512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.60 : 548.72 = 343.28 : x
  2. Step 2: Convert to fraction form
    367.60/548.72 = 343.28/x
  3. Step 3: Cross multiply
    367.60x = 548.72 × 343.28
  4. Step 4: Simplify right side
    367.60x = 188,364.60
  5. Step 5: Solve for x
    x = 188,364.60/367.60
  6. Step 6: Final answer
    x = 512.42

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Why These Related Problems?

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