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Finding the Fourth Proportional to 538.36, 742.89 and 305.48

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Solution

The fourth proportional to 538.36, 742.89 and 305.48 is: 421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.36 : 742.89 = 305.48 : x
  2. Step 2: Convert to fraction form
    538.36/742.89 = 305.48/x
  3. Step 3: Cross multiply
    538.36x = 742.89 × 305.48
  4. Step 4: Simplify right side
    538.36x = 226,938.04
  5. Step 5: Solve for x
    x = 226,938.04/538.36
  6. Step 6: Final answer
    x = 421.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.