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Finding the Fourth Proportional to 456.75, 685.16 and 213.21

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Solution

The fourth proportional to 456.75, 685.16 and 213.21 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 685.16 = 213.21 : x
  2. Step 2: Convert to fraction form
    456.75/685.16 = 213.21/x
  3. Step 3: Cross multiply
    456.75x = 685.16 × 213.21
  4. Step 4: Simplify right side
    456.75x = 146,081.90
  5. Step 5: Solve for x
    x = 146,081.90/456.75
  6. Step 6: Final answer
    x = 319.83

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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.