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Finding the Fourth Proportional to 815.11, 1,222.67 and 352.24

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Solution

The fourth proportional to 815.11, 1,222.67 and 352.24 is: 528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.11 : 1,222.67 = 352.24 : x
  2. Step 2: Convert to fraction form
    815.11/1,222.67 = 352.24/x
  3. Step 3: Cross multiply
    815.11x = 1,222.67 × 352.24
  4. Step 4: Simplify right side
    815.11x = 430,671.10
  5. Step 5: Solve for x
    x = 430,671.10/815.11
  6. Step 6: Final answer
    x = 528.36

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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.