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Finding the Fourth Proportional to 328, 452.92 and 229.81

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Solution

The fourth proportional to 328, 452.92 and 229.81 is: 317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328 : 452.92 = 229.81 : x
  2. Step 2: Convert to fraction form
    328/452.92 = 229.81/x
  3. Step 3: Cross multiply
    328x = 452.92 × 229.81
  4. Step 4: Simplify right side
    328x = 104,085.55
  5. Step 5: Solve for x
    x = 104,085.55/328
  6. Step 6: Final answer
    x = 317.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.