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Finding the Fourth Proportional to 836.25, 1,254.92 and 323.25

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Solution

The fourth proportional to 836.25, 1,254.92 and 323.25 is: 485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.25 : 1,254.92 = 323.25 : x
  2. Step 2: Convert to fraction form
    836.25/1,254.92 = 323.25/x
  3. Step 3: Cross multiply
    836.25x = 1,254.92 × 323.25
  4. Step 4: Simplify right side
    836.25x = 405,651.27
  5. Step 5: Solve for x
    x = 405,651.27/836.25
  6. Step 6: Final answer
    x = 485.08

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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.