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Finding the Fourth Proportional to 466.33, 698.93 and 206.04

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Solution

The fourth proportional to 466.33, 698.93 and 206.04 is: 308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.33 : 698.93 = 206.04 : x
  2. Step 2: Convert to fraction form
    466.33/698.93 = 206.04/x
  3. Step 3: Cross multiply
    466.33x = 698.93 × 206.04
  4. Step 4: Simplify right side
    466.33x = 144,004.58
  5. Step 5: Solve for x
    x = 144,004.58/466.33
  6. Step 6: Final answer
    x = 308.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.