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Finding the Fourth Proportional to 537.86, 742.23 and 301.82

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Solution

The fourth proportional to 537.86, 742.23 and 301.82 is: 416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.86 : 742.23 = 301.82 : x
  2. Step 2: Convert to fraction form
    537.86/742.23 = 301.82/x
  3. Step 3: Cross multiply
    537.86x = 742.23 × 301.82
  4. Step 4: Simplify right side
    537.86x = 224,016.15
  5. Step 5: Solve for x
    x = 224,016.15/537.86
  6. Step 6: Final answer
    x = 416.50

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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.