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Finding the Fourth Proportional to 328.45, 492.10 and 211.33

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Solution

The fourth proportional to 328.45, 492.10 and 211.33 is: 316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.45 : 492.10 = 211.33 : x
  2. Step 2: Convert to fraction form
    328.45/492.10 = 211.33/x
  3. Step 3: Cross multiply
    328.45x = 492.10 × 211.33
  4. Step 4: Simplify right side
    328.45x = 103,995.49
  5. Step 5: Solve for x
    x = 103,995.49/328.45
  6. Step 6: Final answer
    x = 316.63

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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.