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Finding the Fourth Proportional to 411.21, 616.24 and 289.23

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Solution

The fourth proportional to 411.21, 616.24 and 289.23 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.21 : 616.24 = 289.23 : x
  2. Step 2: Convert to fraction form
    411.21/616.24 = 289.23/x
  3. Step 3: Cross multiply
    411.21x = 616.24 × 289.23
  4. Step 4: Simplify right side
    411.21x = 178,235.10
  5. Step 5: Solve for x
    x = 178,235.10/411.21
  6. Step 6: Final answer
    x = 433.44

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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.