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Finding the Fourth Proportional to 538.82, 743.56 and 305.94

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Solution

The fourth proportional to 538.82, 743.56 and 305.94 is: 422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.82 : 743.56 = 305.94 : x
  2. Step 2: Convert to fraction form
    538.82/743.56 = 305.94/x
  3. Step 3: Cross multiply
    538.82x = 743.56 × 305.94
  4. Step 4: Simplify right side
    538.82x = 227,484.75
  5. Step 5: Solve for x
    x = 227,484.75/538.82
  6. Step 6: Final answer
    x = 422.19

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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.