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Finding the Fourth Proportional to 606.78, 837.27 and 344.70

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Solution

The fourth proportional to 606.78, 837.27 and 344.70 is: 475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.78 : 837.27 = 344.70 : x
  2. Step 2: Convert to fraction form
    606.78/837.27 = 344.70/x
  3. Step 3: Cross multiply
    606.78x = 837.27 × 344.70
  4. Step 4: Simplify right side
    606.78x = 288,606.97
  5. Step 5: Solve for x
    x = 288,606.97/606.78
  6. Step 6: Final answer
    x = 475.64

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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.