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Finding the Fourth Proportional to 682.56, 941.67 and 402.71

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Solution

The fourth proportional to 682.56, 941.67 and 402.71 is: 555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 941.67 = 402.71 : x
  2. Step 2: Convert to fraction form
    682.56/941.67 = 402.71/x
  3. Step 3: Cross multiply
    682.56x = 941.67 × 402.71
  4. Step 4: Simplify right side
    682.56x = 379,215.22
  5. Step 5: Solve for x
    x = 379,215.22/682.56
  6. Step 6: Final answer
    x = 555.58

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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.