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Finding the Fourth Proportional to 682.06, 941.28 and 495.46

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Solution

The fourth proportional to 682.06, 941.28 and 495.46 is: 683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.06 : 941.28 = 495.46 : x
  2. Step 2: Convert to fraction form
    682.06/941.28 = 495.46/x
  3. Step 3: Cross multiply
    682.06x = 941.28 × 495.46
  4. Step 4: Simplify right side
    682.06x = 466,366.59
  5. Step 5: Solve for x
    x = 466,366.59/682.06
  6. Step 6: Final answer
    x = 683.76

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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.