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Finding the Fourth Proportional to 537.21, 805.81 and 212.57

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Solution

The fourth proportional to 537.21, 805.81 and 212.57 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.21 : 805.81 = 212.57 : x
  2. Step 2: Convert to fraction form
    537.21/805.81 = 212.57/x
  3. Step 3: Cross multiply
    537.21x = 805.81 × 212.57
  4. Step 4: Simplify right side
    537.21x = 171,287.00
  5. Step 5: Solve for x
    x = 171,287.00/537.21
  6. Step 6: Final answer
    x = 318.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.