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Finding the Fourth Proportional to 365.60, 544.26 and 363.44

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Solution

The fourth proportional to 365.60, 544.26 and 363.44 is: 541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 544.26 = 363.44 : x
  2. Step 2: Convert to fraction form
    365.60/544.26 = 363.44/x
  3. Step 3: Cross multiply
    365.60x = 544.26 × 363.44
  4. Step 4: Simplify right side
    365.60x = 197,805.85
  5. Step 5: Solve for x
    x = 197,805.85/365.60
  6. Step 6: Final answer
    x = 541.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.