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Finding the Fourth Proportional to 815.88, 1,223.24 and 328.53

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Solution

The fourth proportional to 815.88, 1,223.24 and 328.53 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.88 : 1,223.24 = 328.53 : x
  2. Step 2: Convert to fraction form
    815.88/1,223.24 = 328.53/x
  3. Step 3: Cross multiply
    815.88x = 1,223.24 × 328.53
  4. Step 4: Simplify right side
    815.88x = 401,869.39
  5. Step 5: Solve for x
    x = 401,869.39/815.88
  6. Step 6: Final answer
    x = 492.56

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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.