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Finding the Fourth Proportional to 606.14, 836.49 and 357.33

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Solution

The fourth proportional to 606.14, 836.49 and 357.33 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.14 : 836.49 = 357.33 : x
  2. Step 2: Convert to fraction form
    606.14/836.49 = 357.33/x
  3. Step 3: Cross multiply
    606.14x = 836.49 × 357.33
  4. Step 4: Simplify right side
    606.14x = 298,902.97
  5. Step 5: Solve for x
    x = 298,902.97/606.14
  6. Step 6: Final answer
    x = 493.13

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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.