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Finding the Fourth Proportional to 494.45, 742.03 and 364.79

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Solution

The fourth proportional to 494.45, 742.03 and 364.79 is: 547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.45 : 742.03 = 364.79 : x
  2. Step 2: Convert to fraction form
    494.45/742.03 = 364.79/x
  3. Step 3: Cross multiply
    494.45x = 742.03 × 364.79
  4. Step 4: Simplify right side
    494.45x = 270,683.98
  5. Step 5: Solve for x
    x = 270,683.98/494.45
  6. Step 6: Final answer
    x = 547.44

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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.