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Finding the Fourth Proportional to 367.32, 548.12 and 344.02

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Solution

The fourth proportional to 367.32, 548.12 and 344.02 is: 513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.32 : 548.12 = 344.02 : x
  2. Step 2: Convert to fraction form
    367.32/548.12 = 344.02/x
  3. Step 3: Cross multiply
    367.32x = 548.12 × 344.02
  4. Step 4: Simplify right side
    367.32x = 188,564.24
  5. Step 5: Solve for x
    x = 188,564.24/367.32
  6. Step 6: Final answer
    x = 513.35

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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.