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Finding the Fourth Proportional to 466.27, 643.25 and 308.86

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Solution

The fourth proportional to 466.27, 643.25 and 308.86 is: 426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.27 : 643.25 = 308.86 : x
  2. Step 2: Convert to fraction form
    466.27/643.25 = 308.86/x
  3. Step 3: Cross multiply
    466.27x = 643.25 × 308.86
  4. Step 4: Simplify right side
    466.27x = 198,672.65
  5. Step 5: Solve for x
    x = 198,672.65/466.27
  6. Step 6: Final answer
    x = 426.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.