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Finding the Fourth Proportional to 538.94, 743.84 and 306.06

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Solution

The fourth proportional to 538.94, 743.84 and 306.06 is: 422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.94 : 743.84 = 306.06 : x
  2. Step 2: Convert to fraction form
    538.94/743.84 = 306.06/x
  3. Step 3: Cross multiply
    538.94x = 743.84 × 306.06
  4. Step 4: Simplify right side
    538.94x = 227,659.67
  5. Step 5: Solve for x
    x = 227,659.67/538.94
  6. Step 6: Final answer
    x = 422.42

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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.