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Finding the Fourth Proportional to 410.37, 615.81 and 227.89

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Solution

The fourth proportional to 410.37, 615.81 and 227.89 is: 341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.37 : 615.81 = 227.89 : x
  2. Step 2: Convert to fraction form
    410.37/615.81 = 227.89/x
  3. Step 3: Cross multiply
    410.37x = 615.81 × 227.89
  4. Step 4: Simplify right side
    410.37x = 140,335.40
  5. Step 5: Solve for x
    x = 140,335.40/410.37
  6. Step 6: Final answer
    x = 341.97

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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.