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Finding the Fourth Proportional to 537.82, 742.22 and 304.94

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Solution

The fourth proportional to 537.82, 742.22 and 304.94 is: 420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.82 : 742.22 = 304.94 : x
  2. Step 2: Convert to fraction form
    537.82/742.22 = 304.94/x
  3. Step 3: Cross multiply
    537.82x = 742.22 × 304.94
  4. Step 4: Simplify right side
    537.82x = 226,332.57
  5. Step 5: Solve for x
    x = 226,332.57/537.82
  6. Step 6: Final answer
    x = 420.83

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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.