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Finding the Fourth Proportional to 537.86, 742.24 and 298.62

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Solution

The fourth proportional to 537.86, 742.24 and 298.62 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.86 : 742.24 = 298.62 : x
  2. Step 2: Convert to fraction form
    537.86/742.24 = 298.62/x
  3. Step 3: Cross multiply
    537.86x = 742.24 × 298.62
  4. Step 4: Simplify right side
    537.86x = 221,649.34
  5. Step 5: Solve for x
    x = 221,649.34/537.86
  6. Step 6: Final answer
    x = 412.10

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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.