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Finding the Fourth Proportional to 411.24, 616.38 and 183.08

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Solution

The fourth proportional to 411.24, 616.38 and 183.08 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 616.38 = 183.08 : x
  2. Step 2: Convert to fraction form
    411.24/616.38 = 183.08/x
  3. Step 3: Cross multiply
    411.24x = 616.38 × 183.08
  4. Step 4: Simplify right side
    411.24x = 112,846.85
  5. Step 5: Solve for x
    x = 112,846.85/411.24
  6. Step 6: Final answer
    x = 274.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.