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Finding the Fourth Proportional to 367.15, 506.10 and 273.75

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Solution

The fourth proportional to 367.15, 506.10 and 273.75 is: 377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.15 : 506.10 = 273.75 : x
  2. Step 2: Convert to fraction form
    367.15/506.10 = 273.75/x
  3. Step 3: Cross multiply
    367.15x = 506.10 × 273.75
  4. Step 4: Simplify right side
    367.15x = 138,543.85
  5. Step 5: Solve for x
    x = 138,543.85/367.15
  6. Step 6: Final answer
    x = 377.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.