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Finding the Fourth Proportional to 606.20, 908.49 and 259.34

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Solution

The fourth proportional to 606.20, 908.49 and 259.34 is: 388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.20 : 908.49 = 259.34 : x
  2. Step 2: Convert to fraction form
    606.20/908.49 = 259.34/x
  3. Step 3: Cross multiply
    606.20x = 908.49 × 259.34
  4. Step 4: Simplify right side
    606.20x = 235,607.80
  5. Step 5: Solve for x
    x = 235,607.80/606.20
  6. Step 6: Final answer
    x = 388.66

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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.