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Finding the Fourth Proportional to 679.94, 938.31 and 369.44

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Solution

The fourth proportional to 679.94, 938.31 and 369.44 is: 509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.94 : 938.31 = 369.44 : x
  2. Step 2: Convert to fraction form
    679.94/938.31 = 369.44/x
  3. Step 3: Cross multiply
    679.94x = 938.31 × 369.44
  4. Step 4: Simplify right side
    679.94x = 346,649.25
  5. Step 5: Solve for x
    x = 346,649.25/679.94
  6. Step 6: Final answer
    x = 509.82

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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.