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Finding the Fourth Proportional to 606.77, 837.34 and 344.78

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Solution

The fourth proportional to 606.77, 837.34 and 344.78 is: 475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.77 : 837.34 = 344.78 : x
  2. Step 2: Convert to fraction form
    606.77/837.34 = 344.78/x
  3. Step 3: Cross multiply
    606.77x = 837.34 × 344.78
  4. Step 4: Simplify right side
    606.77x = 288,698.09
  5. Step 5: Solve for x
    x = 288,698.09/606.77
  6. Step 6: Final answer
    x = 475.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.