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Finding the Fourth Proportional to 490.42, 735.70 and 182.30

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Solution

The fourth proportional to 490.42, 735.70 and 182.30 is: 273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 735.70 = 182.30 : x
  2. Step 2: Convert to fraction form
    490.42/735.70 = 182.30/x
  3. Step 3: Cross multiply
    490.42x = 735.70 × 182.30
  4. Step 4: Simplify right side
    490.42x = 134,118.11
  5. Step 5: Solve for x
    x = 134,118.11/490.42
  6. Step 6: Final answer
    x = 273.48

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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.