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Finding the Fourth Proportional to 815.44, 1,223.21 and 328.49

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Solution

The fourth proportional to 815.44, 1,223.21 and 328.49 is: 492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.44 : 1,223.21 = 328.49 : x
  2. Step 2: Convert to fraction form
    815.44/1,223.21 = 328.49/x
  3. Step 3: Cross multiply
    815.44x = 1,223.21 × 328.49
  4. Step 4: Simplify right side
    815.44x = 401,812.25
  5. Step 5: Solve for x
    x = 401,812.25/815.44
  6. Step 6: Final answer
    x = 492.76

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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.