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Finding the Fourth Proportional to 542.25, 813.36 and 213.09

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Solution

The fourth proportional to 542.25, 813.36 and 213.09 is: 319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 813.36 = 213.09 : x
  2. Step 2: Convert to fraction form
    542.25/813.36 = 213.09/x
  3. Step 3: Cross multiply
    542.25x = 813.36 × 213.09
  4. Step 4: Simplify right side
    542.25x = 173,318.88
  5. Step 5: Solve for x
    x = 173,318.88/542.25
  6. Step 6: Final answer
    x = 319.63

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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.