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Finding the Fourth Proportional to 537.14, 804.98 and 212.42

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Solution

The fourth proportional to 537.14, 804.98 and 212.42 is: 318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 804.98 = 212.42 : x
  2. Step 2: Convert to fraction form
    537.14/804.98 = 212.42/x
  3. Step 3: Cross multiply
    537.14x = 804.98 × 212.42
  4. Step 4: Simplify right side
    537.14x = 170,993.85
  5. Step 5: Solve for x
    x = 170,993.85/537.14
  6. Step 6: Final answer
    x = 318.34

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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.