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Finding the Fourth Proportional to 537.87, 806.58 and 213.15

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Solution

The fourth proportional to 537.87, 806.58 and 213.15 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.87 : 806.58 = 213.15 : x
  2. Step 2: Convert to fraction form
    537.87/806.58 = 213.15/x
  3. Step 3: Cross multiply
    537.87x = 806.58 × 213.15
  4. Step 4: Simplify right side
    537.87x = 171,922.53
  5. Step 5: Solve for x
    x = 171,922.53/537.87
  6. Step 6: Final answer
    x = 319.64

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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.