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Finding the Fourth Proportional to 537.96, 742.37 and 305.13

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Solution

The fourth proportional to 537.96, 742.37 and 305.13 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.96 : 742.37 = 305.13 : x
  2. Step 2: Convert to fraction form
    537.96/742.37 = 305.13/x
  3. Step 3: Cross multiply
    537.96x = 742.37 × 305.13
  4. Step 4: Simplify right side
    537.96x = 226,517.83
  5. Step 5: Solve for x
    x = 226,517.83/537.96
  6. Step 6: Final answer
    x = 421.07

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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.