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Finding the Fourth Proportional to 682.32, 941.62 and 402.57

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Solution

The fourth proportional to 682.32, 941.62 and 402.57 is: 555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.32 : 941.62 = 402.57 : x
  2. Step 2: Convert to fraction form
    682.32/941.62 = 402.57/x
  3. Step 3: Cross multiply
    682.32x = 941.62 × 402.57
  4. Step 4: Simplify right side
    682.32x = 379,067.96
  5. Step 5: Solve for x
    x = 379,067.96/682.32
  6. Step 6: Final answer
    x = 555.56

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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.