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Finding the Fourth Proportional to 682.55, 941.66 and 402.68

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Solution

The fourth proportional to 682.55, 941.66 and 402.68 is: 555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.55 : 941.66 = 402.68 : x
  2. Step 2: Convert to fraction form
    682.55/941.66 = 402.68/x
  3. Step 3: Cross multiply
    682.55x = 941.66 × 402.68
  4. Step 4: Simplify right side
    682.55x = 379,186.56
  5. Step 5: Solve for x
    x = 379,186.56/682.55
  6. Step 6: Final answer
    x = 555.55

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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.