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Finding the Fourth Proportional to 537.48, 805.77 and 212.67

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Solution

The fourth proportional to 537.48, 805.77 and 212.67 is: 318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.48 : 805.77 = 212.67 : x
  2. Step 2: Convert to fraction form
    537.48/805.77 = 212.67/x
  3. Step 3: Cross multiply
    537.48x = 805.77 × 212.67
  4. Step 4: Simplify right side
    537.48x = 171,366.13
  5. Step 5: Solve for x
    x = 171,366.13/537.48
  6. Step 6: Final answer
    x = 318.83

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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.