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Finding the Fourth Proportional to 538.42, 743.03 and 305.54

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Solution

The fourth proportional to 538.42, 743.03 and 305.54 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.42 : 743.03 = 305.54 : x
  2. Step 2: Convert to fraction form
    538.42/743.03 = 305.54/x
  3. Step 3: Cross multiply
    538.42x = 743.03 × 305.54
  4. Step 4: Simplify right side
    538.42x = 227,027.24
  5. Step 5: Solve for x
    x = 227,027.24/538.42
  6. Step 6: Final answer
    x = 421.66

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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.