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Finding the Fourth Proportional to 543.89, 816.09 and 269.84

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Solution

The fourth proportional to 543.89, 816.09 and 269.84 is: 404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.89 : 816.09 = 269.84 : x
  2. Step 2: Convert to fraction form
    543.89/816.09 = 269.84/x
  3. Step 3: Cross multiply
    543.89x = 816.09 × 269.84
  4. Step 4: Simplify right side
    543.89x = 220,215.77
  5. Step 5: Solve for x
    x = 220,215.77/543.89
  6. Step 6: Final answer
    x = 404.89

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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.