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Finding the Fourth Proportional to 817.05, 1,224.23 and 405.30

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Solution

The fourth proportional to 817.05, 1,224.23 and 405.30 is: 607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.05 : 1,224.23 = 405.30 : x
  2. Step 2: Convert to fraction form
    817.05/1,224.23 = 405.30/x
  3. Step 3: Cross multiply
    817.05x = 1,224.23 × 405.30
  4. Step 4: Simplify right side
    817.05x = 496,178.39
  5. Step 5: Solve for x
    x = 496,178.39/817.05
  6. Step 6: Final answer
    x = 607.28

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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.