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Finding the Fourth Proportional to 537.92, 742.29 and 325.23

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Solution

The fourth proportional to 537.92, 742.29 and 325.23 is: 448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.92 : 742.29 = 325.23 : x
  2. Step 2: Convert to fraction form
    537.92/742.29 = 325.23/x
  3. Step 3: Cross multiply
    537.92x = 742.29 × 325.23
  4. Step 4: Simplify right side
    537.92x = 241,412.93
  5. Step 5: Solve for x
    x = 241,412.93/537.92
  6. Step 6: Final answer
    x = 448.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.