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Finding the Fourth Proportional to 337.26, 505.27 and 213.52

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Solution

The fourth proportional to 337.26, 505.27 and 213.52 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.26 : 505.27 = 213.52 : x
  2. Step 2: Convert to fraction form
    337.26/505.27 = 213.52/x
  3. Step 3: Cross multiply
    337.26x = 505.27 × 213.52
  4. Step 4: Simplify right side
    337.26x = 107,885.25
  5. Step 5: Solve for x
    x = 107,885.25/337.26
  6. Step 6: Final answer
    x = 319.89

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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.