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Finding the Fourth Proportional to 681.46, 940.46 and 382.74

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Solution

The fourth proportional to 681.46, 940.46 and 382.74 is: 528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.46 : 940.46 = 382.74 : x
  2. Step 2: Convert to fraction form
    681.46/940.46 = 382.74/x
  3. Step 3: Cross multiply
    681.46x = 940.46 × 382.74
  4. Step 4: Simplify right side
    681.46x = 359,951.66
  5. Step 5: Solve for x
    x = 359,951.66/681.46
  6. Step 6: Final answer
    x = 528.21

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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.