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Finding the Fourth Proportional to 538.91, 743.57 and 305.99

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Solution

The fourth proportional to 538.91, 743.57 and 305.99 is: 422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.91 : 743.57 = 305.99 : x
  2. Step 2: Convert to fraction form
    538.91/743.57 = 305.99/x
  3. Step 3: Cross multiply
    538.91x = 743.57 × 305.99
  4. Step 4: Simplify right side
    538.91x = 227,523.45
  5. Step 5: Solve for x
    x = 227,523.45/538.91
  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.