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Finding the Fourth Proportional to 538.22, 742.56 and 439.94

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Solution

The fourth proportional to 538.22, 742.56 and 439.94 is: 606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.22 : 742.56 = 439.94 : x
  2. Step 2: Convert to fraction form
    538.22/742.56 = 439.94/x
  3. Step 3: Cross multiply
    538.22x = 742.56 × 439.94
  4. Step 4: Simplify right side
    538.22x = 326,681.85
  5. Step 5: Solve for x
    x = 326,681.85/538.22
  6. Step 6: Final answer
    x = 606.97

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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.