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Finding the Fourth Proportional to 414.06, 620.64 and 208.50

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Solution

The fourth proportional to 414.06, 620.64 and 208.50 is: 312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 620.64 = 208.50 : x
  2. Step 2: Convert to fraction form
    414.06/620.64 = 208.50/x
  3. Step 3: Cross multiply
    414.06x = 620.64 × 208.50
  4. Step 4: Simplify right side
    414.06x = 129,403.44
  5. Step 5: Solve for x
    x = 129,403.44/414.06
  6. Step 6: Final answer
    x = 312.52

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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.