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Finding the Fourth Proportional to 426.41, 639.73 and 182.97

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Solution

The fourth proportional to 426.41, 639.73 and 182.97 is: 274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.41 : 639.73 = 182.97 : x
  2. Step 2: Convert to fraction form
    426.41/639.73 = 182.97/x
  3. Step 3: Cross multiply
    426.41x = 639.73 × 182.97
  4. Step 4: Simplify right side
    426.41x = 117,051.40
  5. Step 5: Solve for x
    x = 117,051.40/426.41
  6. Step 6: Final answer
    x = 274.50

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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.