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Finding the Fourth Proportional to 328.67, 492.09 and 212.83

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Solution

The fourth proportional to 328.67, 492.09 and 212.83 is: 318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.67 : 492.09 = 212.83 : x
  2. Step 2: Convert to fraction form
    328.67/492.09 = 212.83/x
  3. Step 3: Cross multiply
    328.67x = 492.09 × 212.83
  4. Step 4: Simplify right side
    328.67x = 104,732.07
  5. Step 5: Solve for x
    x = 104,732.07/328.67
  6. Step 6: Final answer
    x = 318.65

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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.