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Finding the Fourth Proportional to 537.58, 806.39 and 212.94

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Solution

The fourth proportional to 537.58, 806.39 and 212.94 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.58 : 806.39 = 212.94 : x
  2. Step 2: Convert to fraction form
    537.58/806.39 = 212.94/x
  3. Step 3: Cross multiply
    537.58x = 806.39 × 212.94
  4. Step 4: Simplify right side
    537.58x = 171,712.69
  5. Step 5: Solve for x
    x = 171,712.69/537.58
  6. Step 6: Final answer
    x = 319.42

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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.