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Finding the Fourth Proportional to 681.43, 941.14 and 460

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Solution

The fourth proportional to 681.43, 941.14 and 460 is: 635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.43 : 941.14 = 460 : x
  2. Step 2: Convert to fraction form
    681.43/941.14 = 460/x
  3. Step 3: Cross multiply
    681.43x = 941.14 × 460
  4. Step 4: Simplify right side
    681.43x = 432,924.40
  5. Step 5: Solve for x
    x = 432,924.40/681.43
  6. Step 6: Final answer
    x = 635.32

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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.