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Finding the Fourth Proportional to 466.01, 698.99 and 205.84

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Solution

The fourth proportional to 466.01, 698.99 and 205.84 is: 308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.01 : 698.99 = 205.84 : x
  2. Step 2: Convert to fraction form
    466.01/698.99 = 205.84/x
  3. Step 3: Cross multiply
    466.01x = 698.99 × 205.84
  4. Step 4: Simplify right side
    466.01x = 143,878.87
  5. Step 5: Solve for x
    x = 143,878.87/466.01
  6. Step 6: Final answer
    x = 308.75

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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.