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Finding the Fourth Proportional to 681.80, 941.36 and 460.94

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Solution

The fourth proportional to 681.80, 941.36 and 460.94 is: 636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.80 : 941.36 = 460.94 : x
  2. Step 2: Convert to fraction form
    681.80/941.36 = 460.94/x
  3. Step 3: Cross multiply
    681.80x = 941.36 × 460.94
  4. Step 4: Simplify right side
    681.80x = 433,903.47
  5. Step 5: Solve for x
    x = 433,903.47/681.80
  6. Step 6: Final answer
    x = 636.41

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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.