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Finding the Fourth Proportional to 681.14, 940.50 and 445.16

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Solution

The fourth proportional to 681.14, 940.50 and 445.16 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.14 : 940.50 = 445.16 : x
  2. Step 2: Convert to fraction form
    681.14/940.50 = 445.16/x
  3. Step 3: Cross multiply
    681.14x = 940.50 × 445.16
  4. Step 4: Simplify right side
    681.14x = 418,672.98
  5. Step 5: Solve for x
    x = 418,672.98/681.14
  6. Step 6: Final answer
    x = 614.67

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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.