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Finding the Fourth Proportional to 414.36, 620.10 and 259.92

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Solution

The fourth proportional to 414.36, 620.10 and 259.92 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.36 : 620.10 = 259.92 : x
  2. Step 2: Convert to fraction form
    414.36/620.10 = 259.92/x
  3. Step 3: Cross multiply
    414.36x = 620.10 × 259.92
  4. Step 4: Simplify right side
    414.36x = 161,176.39
  5. Step 5: Solve for x
    x = 161,176.39/414.36
  6. Step 6: Final answer
    x = 388.98

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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.