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Finding the Fourth Proportional to 829.49, 1,244.38 and 342.27

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Solution

The fourth proportional to 829.49, 1,244.38 and 342.27 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.49 : 1,244.38 = 342.27 : x
  2. Step 2: Convert to fraction form
    829.49/1,244.38 = 342.27/x
  3. Step 3: Cross multiply
    829.49x = 1,244.38 × 342.27
  4. Step 4: Simplify right side
    829.49x = 425,913.94
  5. Step 5: Solve for x
    x = 425,913.94/829.49
  6. Step 6: Final answer
    x = 513.46

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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.