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Finding the Fourth Proportional to 815.30, 1,222.28 and 327.88

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Solution

The fourth proportional to 815.30, 1,222.28 and 327.88 is: 491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.30 : 1,222.28 = 327.88 : x
  2. Step 2: Convert to fraction form
    815.30/1,222.28 = 327.88/x
  3. Step 3: Cross multiply
    815.30x = 1,222.28 × 327.88
  4. Step 4: Simplify right side
    815.30x = 400,755.06
  5. Step 5: Solve for x
    x = 400,755.06/815.30
  6. Step 6: Final answer
    x = 491.55

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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.