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Finding the Fourth Proportional to 367.57, 548.33 and 341.38

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Solution

The fourth proportional to 367.57, 548.33 and 341.38 is: 509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.57 : 548.33 = 341.38 : x
  2. Step 2: Convert to fraction form
    367.57/548.33 = 341.38/x
  3. Step 3: Cross multiply
    367.57x = 548.33 × 341.38
  4. Step 4: Simplify right side
    367.57x = 187,188.90
  5. Step 5: Solve for x
    x = 187,188.90/367.57
  6. Step 6: Final answer
    x = 509.26

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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.