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Finding the Fourth Proportional to 542.21, 813.09 and 233.90

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Solution

The fourth proportional to 542.21, 813.09 and 233.90 is: 350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.21 : 813.09 = 233.90 : x
  2. Step 2: Convert to fraction form
    542.21/813.09 = 233.90/x
  3. Step 3: Cross multiply
    542.21x = 813.09 × 233.90
  4. Step 4: Simplify right side
    542.21x = 190,177.69
  5. Step 5: Solve for x
    x = 190,177.69/542.21
  6. Step 6: Final answer
    x = 350.75

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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.