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Finding the Fourth Proportional to 416.86, 626.70 and 336.26

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Solution

The fourth proportional to 416.86, 626.70 and 336.26 is: 505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.86 : 626.70 = 336.26 : x
  2. Step 2: Convert to fraction form
    416.86/626.70 = 336.26/x
  3. Step 3: Cross multiply
    416.86x = 626.70 × 336.26
  4. Step 4: Simplify right side
    416.86x = 210,736.97
  5. Step 5: Solve for x
    x = 210,736.97/416.86
  6. Step 6: Final answer
    x = 505.54

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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.