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Finding the Fourth Proportional to 426.30, 639.74 and 182.85

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Solution

The fourth proportional to 426.30, 639.74 and 182.85 is: 274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.30 : 639.74 = 182.85 : x
  2. Step 2: Convert to fraction form
    426.30/639.74 = 182.85/x
  3. Step 3: Cross multiply
    426.30x = 639.74 × 182.85
  4. Step 4: Simplify right side
    426.30x = 116,976.46
  5. Step 5: Solve for x
    x = 116,976.46/426.30
  6. Step 6: Final answer
    x = 274.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.