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Finding the Fourth Proportional to 677.73, 935.28 and 367.23

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Solution

The fourth proportional to 677.73, 935.28 and 367.23 is: 506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.73 : 935.28 = 367.23 : x
  2. Step 2: Convert to fraction form
    677.73/935.28 = 367.23/x
  3. Step 3: Cross multiply
    677.73x = 935.28 × 367.23
  4. Step 4: Simplify right side
    677.73x = 343,465.21
  5. Step 5: Solve for x
    x = 343,465.21/677.73
  6. Step 6: Final answer
    x = 506.79

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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.