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Finding the Fourth Proportional to 381.92, 572.99 and 345.79

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Solution

The fourth proportional to 381.92, 572.99 and 345.79 is: 518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.92 : 572.99 = 345.79 : x
  2. Step 2: Convert to fraction form
    381.92/572.99 = 345.79/x
  3. Step 3: Cross multiply
    381.92x = 572.99 × 345.79
  4. Step 4: Simplify right side
    381.92x = 198,134.21
  5. Step 5: Solve for x
    x = 198,134.21/381.92
  6. Step 6: Final answer
    x = 518.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.