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Finding the Fourth Proportional to 606.06, 908.66 and 389.78

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Solution

The fourth proportional to 606.06, 908.66 and 389.78 is: 584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.06 : 908.66 = 389.78 : x
  2. Step 2: Convert to fraction form
    606.06/908.66 = 389.78/x
  3. Step 3: Cross multiply
    606.06x = 908.66 × 389.78
  4. Step 4: Simplify right side
    606.06x = 354,177.49
  5. Step 5: Solve for x
    x = 354,177.49/606.06
  6. Step 6: Final answer
    x = 584.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.