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Finding the Fourth Proportional to 543.96, 814.77 and 269.24

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Solution

The fourth proportional to 543.96, 814.77 and 269.24 is: 403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 814.77 = 269.24 : x
  2. Step 2: Convert to fraction form
    543.96/814.77 = 269.24/x
  3. Step 3: Cross multiply
    543.96x = 814.77 × 269.24
  4. Step 4: Simplify right side
    543.96x = 219,364.60
  5. Step 5: Solve for x
    x = 219,364.60/543.96
  6. Step 6: Final answer
    x = 403.27

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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.