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Finding the Fourth Proportional to 682.28, 941.30 and 524.96

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Solution

The fourth proportional to 682.28, 941.30 and 524.96 is: 724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.28 : 941.30 = 524.96 : x
  2. Step 2: Convert to fraction form
    682.28/941.30 = 524.96/x
  3. Step 3: Cross multiply
    682.28x = 941.30 × 524.96
  4. Step 4: Simplify right side
    682.28x = 494,144.85
  5. Step 5: Solve for x
    x = 494,144.85/682.28
  6. Step 6: Final answer
    x = 724.26

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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.