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Finding the Fourth Proportional to 499.09, 748.73 and 225.31

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Solution

The fourth proportional to 499.09, 748.73 and 225.31 is: 338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.09 : 748.73 = 225.31 : x
  2. Step 2: Convert to fraction form
    499.09/748.73 = 225.31/x
  3. Step 3: Cross multiply
    499.09x = 748.73 × 225.31
  4. Step 4: Simplify right side
    499.09x = 168,695.23
  5. Step 5: Solve for x
    x = 168,695.23/499.09
  6. Step 6: Final answer
    x = 338.01

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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.