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Finding the Fourth Proportional to 815.23, 1,222.62 and 328.54

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Solution

The fourth proportional to 815.23, 1,222.62 and 328.54 is: 492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.23 : 1,222.62 = 328.54 : x
  2. Step 2: Convert to fraction form
    815.23/1,222.62 = 328.54/x
  3. Step 3: Cross multiply
    815.23x = 1,222.62 × 328.54
  4. Step 4: Simplify right side
    815.23x = 401,679.57
  5. Step 5: Solve for x
    x = 401,679.57/815.23
  6. Step 6: Final answer
    x = 492.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.