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Finding the Fourth Proportional to 367.82, 508.11 and 264.86

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Solution

The fourth proportional to 367.82, 508.11 and 264.86 is: 365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 508.11 = 264.86 : x
  2. Step 2: Convert to fraction form
    367.82/508.11 = 264.86/x
  3. Step 3: Cross multiply
    367.82x = 508.11 × 264.86
  4. Step 4: Simplify right side
    367.82x = 134,578.01
  5. Step 5: Solve for x
    x = 134,578.01/367.82
  6. Step 6: Final answer
    x = 365.88

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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.