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Finding the Fourth Proportional to 414.59, 620.60 and 259.99

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Solution

The fourth proportional to 414.59, 620.60 and 259.99 is: 389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.59 : 620.60 = 259.99 : x
  2. Step 2: Convert to fraction form
    414.59/620.60 = 259.99/x
  3. Step 3: Cross multiply
    414.59x = 620.60 × 259.99
  4. Step 4: Simplify right side
    414.59x = 161,346.94
  5. Step 5: Solve for x
    x = 161,346.94/414.59
  6. Step 6: Final answer
    x = 389.18

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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.