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Finding the Fourth Proportional to 537.74, 742.02 and 304.82

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Solution

The fourth proportional to 537.74, 742.02 and 304.82 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.74 : 742.02 = 304.82 : x
  2. Step 2: Convert to fraction form
    537.74/742.02 = 304.82/x
  3. Step 3: Cross multiply
    537.74x = 742.02 × 304.82
  4. Step 4: Simplify right side
    537.74x = 226,182.54
  5. Step 5: Solve for x
    x = 226,182.54/537.74
  6. Step 6: Final answer
    x = 420.62

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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.