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Finding the Fourth Proportional to 410.57, 615.94 and 227.58

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Solution

The fourth proportional to 410.57, 615.94 and 227.58 is: 341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.57 : 615.94 = 227.58 : x
  2. Step 2: Convert to fraction form
    410.57/615.94 = 227.58/x
  3. Step 3: Cross multiply
    410.57x = 615.94 × 227.58
  4. Step 4: Simplify right side
    410.57x = 140,175.63
  5. Step 5: Solve for x
    x = 140,175.63/410.57
  6. Step 6: Final answer
    x = 341.42

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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.