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Finding the Fourth Proportional to 456.86, 685.18 and 213.26

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Solution

The fourth proportional to 456.86, 685.18 and 213.26 is: 319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 685.18 = 213.26 : x
  2. Step 2: Convert to fraction form
    456.86/685.18 = 213.26/x
  3. Step 3: Cross multiply
    456.86x = 685.18 × 213.26
  4. Step 4: Simplify right side
    456.86x = 146,121.49
  5. Step 5: Solve for x
    x = 146,121.49/456.86
  6. Step 6: Final answer
    x = 319.84

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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.