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Finding the Fourth Proportional to 494.08, 739.51 and 364.03

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Solution

The fourth proportional to 494.08, 739.51 and 364.03 is: 544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.08 : 739.51 = 364.03 : x
  2. Step 2: Convert to fraction form
    494.08/739.51 = 364.03/x
  3. Step 3: Cross multiply
    494.08x = 739.51 × 364.03
  4. Step 4: Simplify right side
    494.08x = 269,198.76
  5. Step 5: Solve for x
    x = 269,198.76/494.08
  6. Step 6: Final answer
    x = 544.85

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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.