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Finding the Fourth Proportional to 815.21, 1,222.00 and 328.60

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Solution

The fourth proportional to 815.21, 1,222.00 and 328.60 is: 492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.21 : 1,222.00 = 328.60 : x
  2. Step 2: Convert to fraction form
    815.21/1,222.00 = 328.60/x
  3. Step 3: Cross multiply
    815.21x = 1,222.00 × 328.60
  4. Step 4: Simplify right side
    815.21x = 401,549.91
  5. Step 5: Solve for x
    x = 401,549.91/815.21
  6. Step 6: Final answer
    x = 492.57

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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.