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Finding the Fourth Proportional to 682.02, 940.09 and 460.59

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Solution

The fourth proportional to 682.02, 940.09 and 460.59 is: 634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 940.09 = 460.59 : x
  2. Step 2: Convert to fraction form
    682.02/940.09 = 460.59/x
  3. Step 3: Cross multiply
    682.02x = 940.09 × 460.59
  4. Step 4: Simplify right side
    682.02x = 432,991.35
  5. Step 5: Solve for x
    x = 432,991.35/682.02
  6. Step 6: Final answer
    x = 634.87

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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.