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Finding the Fourth Proportional to 682.61, 941.91 and 387.82

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Solution

The fourth proportional to 682.61, 941.91 and 387.82 is: 535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.61 : 941.91 = 387.82 : x
  2. Step 2: Convert to fraction form
    682.61/941.91 = 387.82/x
  3. Step 3: Cross multiply
    682.61x = 941.91 × 387.82
  4. Step 4: Simplify right side
    682.61x = 365,291.54
  5. Step 5: Solve for x
    x = 365,291.54/682.61
  6. Step 6: Final answer
    x = 535.14

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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.