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Finding the Fourth Proportional to 376.82, 519.31 and 258.83

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Solution

The fourth proportional to 376.82, 519.31 and 258.83 is: 356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.82 : 519.31 = 258.83 : x
  2. Step 2: Convert to fraction form
    376.82/519.31 = 258.83/x
  3. Step 3: Cross multiply
    376.82x = 519.31 × 258.83
  4. Step 4: Simplify right side
    376.82x = 134,413.01
  5. Step 5: Solve for x
    x = 134,413.01/376.82
  6. Step 6: Final answer
    x = 356.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.