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Finding the Fourth Proportional to 681.29, 940.25 and 419.30

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Solution

The fourth proportional to 681.29, 940.25 and 419.30 is: 578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.29 : 940.25 = 419.30 : x
  2. Step 2: Convert to fraction form
    681.29/940.25 = 419.30/x
  3. Step 3: Cross multiply
    681.29x = 940.25 × 419.30
  4. Step 4: Simplify right side
    681.29x = 394,240.03
  5. Step 5: Solve for x
    x = 394,240.03/681.29
  6. Step 6: Final answer
    x = 578.67

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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.