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Finding the Fourth Proportional to 367.44, 507.49 and 337.82

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Solution

The fourth proportional to 367.44, 507.49 and 337.82 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.44 : 507.49 = 337.82 : x
  2. Step 2: Convert to fraction form
    367.44/507.49 = 337.82/x
  3. Step 3: Cross multiply
    367.44x = 507.49 × 337.82
  4. Step 4: Simplify right side
    367.44x = 171,440.69
  5. Step 5: Solve for x
    x = 171,440.69/367.44
  6. Step 6: Final answer
    x = 466.59

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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.