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Finding the Fourth Proportional to 411.99, 618.16 and 206.56

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Solution

The fourth proportional to 411.99, 618.16 and 206.56 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.99 : 618.16 = 206.56 : x
  2. Step 2: Convert to fraction form
    411.99/618.16 = 206.56/x
  3. Step 3: Cross multiply
    411.99x = 618.16 × 206.56
  4. Step 4: Simplify right side
    411.99x = 127,687.13
  5. Step 5: Solve for x
    x = 127,687.13/411.99
  6. Step 6: Final answer
    x = 309.93

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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.