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Finding the Fourth Proportional to 677.14, 1,015.71 and 244.27

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Solution

The fourth proportional to 677.14, 1,015.71 and 244.27 is: 366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.14 : 1,015.71 = 244.27 : x
  2. Step 2: Convert to fraction form
    677.14/1,015.71 = 244.27/x
  3. Step 3: Cross multiply
    677.14x = 1,015.71 × 244.27
  4. Step 4: Simplify right side
    677.14x = 248,107.48
  5. Step 5: Solve for x
    x = 248,107.48/677.14
  6. Step 6: Final answer
    x = 366.41

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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.