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Finding the Fourth Proportional to 829.08, 1,243.26 and 308.88

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Solution

The fourth proportional to 829.08, 1,243.26 and 308.88 is: 463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.08 : 1,243.26 = 308.88 : x
  2. Step 2: Convert to fraction form
    829.08/1,243.26 = 308.88/x
  3. Step 3: Cross multiply
    829.08x = 1,243.26 × 308.88
  4. Step 4: Simplify right side
    829.08x = 384,018.15
  5. Step 5: Solve for x
    x = 384,018.15/829.08
  6. Step 6: Final answer
    x = 463.19

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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.