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Finding the Fourth Proportional to 411.96, 617.93 and 249.30

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Solution

The fourth proportional to 411.96, 617.93 and 249.30 is: 373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.96 : 617.93 = 249.30 : x
  2. Step 2: Convert to fraction form
    411.96/617.93 = 249.30/x
  3. Step 3: Cross multiply
    411.96x = 617.93 × 249.30
  4. Step 4: Simplify right side
    411.96x = 154,049.95
  5. Step 5: Solve for x
    x = 154,049.95/411.96
  6. Step 6: Final answer
    x = 373.94

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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.