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Finding the Fourth Proportional to 394.86, 544.62 and 263.84

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Solution

The fourth proportional to 394.86, 544.62 and 263.84 is: 363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.86 : 544.62 = 263.84 : x
  2. Step 2: Convert to fraction form
    394.86/544.62 = 263.84/x
  3. Step 3: Cross multiply
    394.86x = 544.62 × 263.84
  4. Step 4: Simplify right side
    394.86x = 143,692.54
  5. Step 5: Solve for x
    x = 143,692.54/394.86
  6. Step 6: Final answer
    x = 363.91

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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.