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Finding the Fourth Proportional to 680.41, 938.97 and 369.91

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Solution

The fourth proportional to 680.41, 938.97 and 369.91 is: 510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.41 : 938.97 = 369.91 : x
  2. Step 2: Convert to fraction form
    680.41/938.97 = 369.91/x
  3. Step 3: Cross multiply
    680.41x = 938.97 × 369.91
  4. Step 4: Simplify right side
    680.41x = 347,334.39
  5. Step 5: Solve for x
    x = 347,334.39/680.41
  6. Step 6: Final answer
    x = 510.48

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1.5x scale

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.