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Finding the Fourth Proportional to 682.54, 941.90 and 387.82

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Solution

The fourth proportional to 682.54, 941.90 and 387.82 is: 535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.54 : 941.90 = 387.82 : x
  2. Step 2: Convert to fraction form
    682.54/941.90 = 387.82/x
  3. Step 3: Cross multiply
    682.54x = 941.90 × 387.82
  4. Step 4: Simplify right side
    682.54x = 365,287.66
  5. Step 5: Solve for x
    x = 365,287.66/682.54
  6. Step 6: Final answer
    x = 535.19

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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.