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Finding the Fourth Proportional to 496.64, 745.44 and 223.04

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Solution

The fourth proportional to 496.64, 745.44 and 223.04 is: 334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.64 : 745.44 = 223.04 : x
  2. Step 2: Convert to fraction form
    496.64/745.44 = 223.04/x
  3. Step 3: Cross multiply
    496.64x = 745.44 × 223.04
  4. Step 4: Simplify right side
    496.64x = 166,262.94
  5. Step 5: Solve for x
    x = 166,262.94/496.64
  6. Step 6: Final answer
    x = 334.78

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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.