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Finding the Fourth Proportional to 394.28, 592.02 and 212.03

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Solution

The fourth proportional to 394.28, 592.02 and 212.03 is: 318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.28 : 592.02 = 212.03 : x
  2. Step 2: Convert to fraction form
    394.28/592.02 = 212.03/x
  3. Step 3: Cross multiply
    394.28x = 592.02 × 212.03
  4. Step 4: Simplify right side
    394.28x = 125,521.98
  5. Step 5: Solve for x
    x = 125,521.98/394.28
  6. Step 6: Final answer
    x = 318.36

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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.