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Finding the Fourth Proportional to 838.11, 1,257.25 and 282.80

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Solution

The fourth proportional to 838.11, 1,257.25 and 282.80 is: 424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.11 : 1,257.25 = 282.80 : x
  2. Step 2: Convert to fraction form
    838.11/1,257.25 = 282.80/x
  3. Step 3: Cross multiply
    838.11x = 1,257.25 × 282.80
  4. Step 4: Simplify right side
    838.11x = 355,550.30
  5. Step 5: Solve for x
    x = 355,550.30/838.11
  6. Step 6: Final answer
    x = 424.23

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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.