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Finding the Fourth Proportional to 680.02, 938.01 and 447.46

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Solution

The fourth proportional to 680.02, 938.01 and 447.46 is: 617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.02 : 938.01 = 447.46 : x
  2. Step 2: Convert to fraction form
    680.02/938.01 = 447.46/x
  3. Step 3: Cross multiply
    680.02x = 938.01 × 447.46
  4. Step 4: Simplify right side
    680.02x = 419,721.95
  5. Step 5: Solve for x
    x = 419,721.95/680.02
  6. Step 6: Final answer
    x = 617.22

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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.