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Finding the Fourth Proportional to 382.17, 572.49 and 227.64

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Solution

The fourth proportional to 382.17, 572.49 and 227.64 is: 341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.17 : 572.49 = 227.64 : x
  2. Step 2: Convert to fraction form
    382.17/572.49 = 227.64/x
  3. Step 3: Cross multiply
    382.17x = 572.49 × 227.64
  4. Step 4: Simplify right side
    382.17x = 130,321.62
  5. Step 5: Solve for x
    x = 130,321.62/382.17
  6. Step 6: Final answer
    x = 341.00

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Why These Related Problems?

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