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Finding the Fourth Proportional to 680.94, 939.43 and 445.16

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Solution

The fourth proportional to 680.94, 939.43 and 445.16 is: 614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.94 : 939.43 = 445.16 : x
  2. Step 2: Convert to fraction form
    680.94/939.43 = 445.16/x
  3. Step 3: Cross multiply
    680.94x = 939.43 × 445.16
  4. Step 4: Simplify right side
    680.94x = 418,199.56
  5. Step 5: Solve for x
    x = 418,199.56/680.94
  6. Step 6: Final answer
    x = 614.15

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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.