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Finding the Fourth Proportional to 606.92, 837.78 and 374

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Solution

The fourth proportional to 606.92, 837.78 and 374 is: 516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.92 : 837.78 = 374 : x
  2. Step 2: Convert to fraction form
    606.92/837.78 = 374/x
  3. Step 3: Cross multiply
    606.92x = 837.78 × 374
  4. Step 4: Simplify right side
    606.92x = 313,329.72
  5. Step 5: Solve for x
    x = 313,329.72/606.92
  6. Step 6: Final answer
    x = 516.26

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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.