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Finding the Fourth Proportional to 394.94, 592.63 and 363.96

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Solution

The fourth proportional to 394.94, 592.63 and 363.96 is: 546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.94 : 592.63 = 363.96 : x
  2. Step 2: Convert to fraction form
    394.94/592.63 = 363.96/x
  3. Step 3: Cross multiply
    394.94x = 592.63 × 363.96
  4. Step 4: Simplify right side
    394.94x = 215,692.70
  5. Step 5: Solve for x
    x = 215,692.70/394.94
  6. Step 6: Final answer
    x = 546.14

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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.