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Finding the Fourth Proportional to 413.72, 620.16 and 259.75

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Solution

The fourth proportional to 413.72, 620.16 and 259.75 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.72 : 620.16 = 259.75 : x
  2. Step 2: Convert to fraction form
    413.72/620.16 = 259.75/x
  3. Step 3: Cross multiply
    413.72x = 620.16 × 259.75
  4. Step 4: Simplify right side
    413.72x = 161,088.84
  5. Step 5: Solve for x
    x = 161,088.84/413.72
  6. Step 6: Final answer
    x = 389.37

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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.