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Finding the Fourth Proportional to 365.37, 500.90 and 364.31

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Solution

The fourth proportional to 365.37, 500.90 and 364.31 is: 499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.37 : 500.90 = 364.31 : x
  2. Step 2: Convert to fraction form
    365.37/500.90 = 364.31/x
  3. Step 3: Cross multiply
    365.37x = 500.90 × 364.31
  4. Step 4: Simplify right side
    365.37x = 182,478.55
  5. Step 5: Solve for x
    x = 182,478.55/365.37
  6. Step 6: Final answer
    x = 499.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.