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Finding the Fourth Proportional to 617.83, 926.81 and 227.90

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Solution

The fourth proportional to 617.83, 926.81 and 227.90 is: 341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.83 : 926.81 = 227.90 : x
  2. Step 2: Convert to fraction form
    617.83/926.81 = 227.90/x
  3. Step 3: Cross multiply
    617.83x = 926.81 × 227.90
  4. Step 4: Simplify right side
    617.83x = 211,220.00
  5. Step 5: Solve for x
    x = 211,220.00/617.83
  6. Step 6: Final answer
    x = 341.87

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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.