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Finding the Fourth Proportional to 465.75, 698.67 and 206.01

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Solution

The fourth proportional to 465.75, 698.67 and 206.01 is: 309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 698.67 = 206.01 : x
  2. Step 2: Convert to fraction form
    465.75/698.67 = 206.01/x
  3. Step 3: Cross multiply
    465.75x = 698.67 × 206.01
  4. Step 4: Simplify right side
    465.75x = 143,933.01
  5. Step 5: Solve for x
    x = 143,933.01/465.75
  6. Step 6: Final answer
    x = 309.03

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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.