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Finding the Fourth Proportional to 386.68, 580.38 and 367.56

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Solution

The fourth proportional to 386.68, 580.38 and 367.56 is: 551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.68 : 580.38 = 367.56 : x
  2. Step 2: Convert to fraction form
    386.68/580.38 = 367.56/x
  3. Step 3: Cross multiply
    386.68x = 580.38 × 367.56
  4. Step 4: Simplify right side
    386.68x = 213,324.47
  5. Step 5: Solve for x
    x = 213,324.47/386.68
  6. Step 6: Final answer
    x = 551.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.