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Finding the Fourth Proportional to 426.09, 639.36 and 182.78

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Solution

The fourth proportional to 426.09, 639.36 and 182.78 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 639.36 = 182.78 : x
  2. Step 2: Convert to fraction form
    426.09/639.36 = 182.78/x
  3. Step 3: Cross multiply
    426.09x = 639.36 × 182.78
  4. Step 4: Simplify right side
    426.09x = 116,862.22
  5. Step 5: Solve for x
    x = 116,862.22/426.09
  6. Step 6: Final answer
    x = 274.27

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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.