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Finding the Fourth Proportional to 413.76, 620.34 and 276.39

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Solution

The fourth proportional to 413.76, 620.34 and 276.39 is: 414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 620.34 = 276.39 : x
  2. Step 2: Convert to fraction form
    413.76/620.34 = 276.39/x
  3. Step 3: Cross multiply
    413.76x = 620.34 × 276.39
  4. Step 4: Simplify right side
    413.76x = 171,455.77
  5. Step 5: Solve for x
    x = 171,455.77/413.76
  6. Step 6: Final answer
    x = 414.38

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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.