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Finding the Fourth Proportional to 543.38, 815.34 and 254.76

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Solution

The fourth proportional to 543.38, 815.34 and 254.76 is: 382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.38 : 815.34 = 254.76 : x
  2. Step 2: Convert to fraction form
    543.38/815.34 = 254.76/x
  3. Step 3: Cross multiply
    543.38x = 815.34 × 254.76
  4. Step 4: Simplify right side
    543.38x = 207,716.02
  5. Step 5: Solve for x
    x = 207,716.02/543.38
  6. Step 6: Final answer
    x = 382.27

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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.