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Finding the Fourth Proportional to 667.85, 921.66 and 369.09

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Solution

The fourth proportional to 667.85, 921.66 and 369.09 is: 509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.85 : 921.66 = 369.09 : x
  2. Step 2: Convert to fraction form
    667.85/921.66 = 369.09/x
  3. Step 3: Cross multiply
    667.85x = 921.66 × 369.09
  4. Step 4: Simplify right side
    667.85x = 340,176.87
  5. Step 5: Solve for x
    x = 340,176.87/667.85
  6. Step 6: Final answer
    x = 509.37

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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.