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Finding the Fourth Proportional to 815.91, 1,223.43 and 353.44

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Solution

The fourth proportional to 815.91, 1,223.43 and 353.44 is: 529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.91 : 1,223.43 = 353.44 : x
  2. Step 2: Convert to fraction form
    815.91/1,223.43 = 353.44/x
  3. Step 3: Cross multiply
    815.91x = 1,223.43 × 353.44
  4. Step 4: Simplify right side
    815.91x = 432,409.10
  5. Step 5: Solve for x
    x = 432,409.10/815.91
  6. Step 6: Final answer
    x = 529.97

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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.