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Finding the Fourth Proportional to 438.67, 604.38 and 367.48

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Solution

The fourth proportional to 438.67, 604.38 and 367.48 is: 506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.67 : 604.38 = 367.48 : x
  2. Step 2: Convert to fraction form
    438.67/604.38 = 367.48/x
  3. Step 3: Cross multiply
    438.67x = 604.38 × 367.48
  4. Step 4: Simplify right side
    438.67x = 222,097.56
  5. Step 5: Solve for x
    x = 222,097.56/438.67
  6. Step 6: Final answer
    x = 506.30

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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.