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Finding the Fourth Proportional to 815.41, 1,223.12 and 295.48

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Solution

The fourth proportional to 815.41, 1,223.12 and 295.48 is: 443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.41 : 1,223.12 = 295.48 : x
  2. Step 2: Convert to fraction form
    815.41/1,223.12 = 295.48/x
  3. Step 3: Cross multiply
    815.41x = 1,223.12 × 295.48
  4. Step 4: Simplify right side
    815.41x = 361,406.02
  5. Step 5: Solve for x
    x = 361,406.02/815.41
  6. Step 6: Final answer
    x = 443.22

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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.