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Finding the Fourth Proportional to 411.84, 618.03 and 180.99

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Solution

The fourth proportional to 411.84, 618.03 and 180.99 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 618.03 = 180.99 : x
  2. Step 2: Convert to fraction form
    411.84/618.03 = 180.99/x
  3. Step 3: Cross multiply
    411.84x = 618.03 × 180.99
  4. Step 4: Simplify right side
    411.84x = 111,857.25
  5. Step 5: Solve for x
    x = 111,857.25/411.84
  6. Step 6: Final answer
    x = 271.60

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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.