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Finding the Fourth Proportional to 682.47, 941.81 and 402.75

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Solution

The fourth proportional to 682.47, 941.81 and 402.75 is: 555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.47 : 941.81 = 402.75 : x
  2. Step 2: Convert to fraction form
    682.47/941.81 = 402.75/x
  3. Step 3: Cross multiply
    682.47x = 941.81 × 402.75
  4. Step 4: Simplify right side
    682.47x = 379,311.96
  5. Step 5: Solve for x
    x = 379,311.96/682.47
  6. Step 6: Final answer
    x = 555.79

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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.