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Finding the Fourth Proportional to 680.92, 939.66 and 419

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Solution

The fourth proportional to 680.92, 939.66 and 419 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.92 : 939.66 = 419 : x
  2. Step 2: Convert to fraction form
    680.92/939.66 = 419/x
  3. Step 3: Cross multiply
    680.92x = 939.66 × 419
  4. Step 4: Simplify right side
    680.92x = 393,717.54
  5. Step 5: Solve for x
    x = 393,717.54/680.92
  6. Step 6: Final answer
    x = 578.21

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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.