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Finding the Fourth Proportional to 367.23, 548.67 and 363.99

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Solution

The fourth proportional to 367.23, 548.67 and 363.99 is: 543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.23 : 548.67 = 363.99 : x
  2. Step 2: Convert to fraction form
    367.23/548.67 = 363.99/x
  3. Step 3: Cross multiply
    367.23x = 548.67 × 363.99
  4. Step 4: Simplify right side
    367.23x = 199,710.39
  5. Step 5: Solve for x
    x = 199,710.39/367.23
  6. Step 6: Final answer
    x = 543.83

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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.