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Finding the Fourth Proportional to 812.04, 1,217.84 and 234.80

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Solution

The fourth proportional to 812.04, 1,217.84 and 234.80 is: 352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.04 : 1,217.84 = 234.80 : x
  2. Step 2: Convert to fraction form
    812.04/1,217.84 = 234.80/x
  3. Step 3: Cross multiply
    812.04x = 1,217.84 × 234.80
  4. Step 4: Simplify right side
    812.04x = 285,948.83
  5. Step 5: Solve for x
    x = 285,948.83/812.04
  6. Step 6: Final answer
    x = 352.14

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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.