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Finding the Fourth Proportional to 683.77, 943.71 and 418.37

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Solution

The fourth proportional to 683.77, 943.71 and 418.37 is: 577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.77 : 943.71 = 418.37 : x
  2. Step 2: Convert to fraction form
    683.77/943.71 = 418.37/x
  3. Step 3: Cross multiply
    683.77x = 943.71 × 418.37
  4. Step 4: Simplify right side
    683.77x = 394,813.14
  5. Step 5: Solve for x
    x = 394,813.14/683.77
  6. Step 6: Final answer
    x = 577.41

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1.5x scale

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.