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Finding the Fourth Proportional to 465.92, 698.67 and 206.00

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Solution

The fourth proportional to 465.92, 698.67 and 206.00 is: 308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.92 : 698.67 = 206.00 : x
  2. Step 2: Convert to fraction form
    465.92/698.67 = 206.00/x
  3. Step 3: Cross multiply
    465.92x = 698.67 × 206.00
  4. Step 4: Simplify right side
    465.92x = 143,922.53
  5. Step 5: Solve for x
    x = 143,922.53/465.92
  6. Step 6: Final answer
    x = 308.90

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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.