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Finding the Fourth Proportional to 617, 925.26 and 227

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Solution

The fourth proportional to 617, 925.26 and 227 is: 340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617 : 925.26 = 227 : x
  2. Step 2: Convert to fraction form
    617/925.26 = 227/x
  3. Step 3: Cross multiply
    617x = 925.26 × 227
  4. Step 4: Simplify right side
    617x = 210,034.02
  5. Step 5: Solve for x
    x = 210,034.02/617
  6. Step 6: Final answer
    x = 340.41

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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.