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Finding the Fourth Proportional to 543.98, 814.76 and 338.11

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Solution

The fourth proportional to 543.98, 814.76 and 338.11 is: 506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.98 : 814.76 = 338.11 : x
  2. Step 2: Convert to fraction form
    543.98/814.76 = 338.11/x
  3. Step 3: Cross multiply
    543.98x = 814.76 × 338.11
  4. Step 4: Simplify right side
    543.98x = 275,477.31
  5. Step 5: Solve for x
    x = 275,477.31/543.98
  6. Step 6: Final answer
    x = 506.42

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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.