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Finding the Fourth Proportional to 677.81, 935.39 and 367.31

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Solution

The fourth proportional to 677.81, 935.39 and 367.31 is: 506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.81 : 935.39 = 367.31 : x
  2. Step 2: Convert to fraction form
    677.81/935.39 = 367.31/x
  3. Step 3: Cross multiply
    677.81x = 935.39 × 367.31
  4. Step 4: Simplify right side
    677.81x = 343,578.60
  5. Step 5: Solve for x
    x = 343,578.60/677.81
  6. Step 6: Final answer
    x = 506.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.