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Finding the Fourth Proportional to 543.28, 813.60 and 254.80

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Solution

The fourth proportional to 543.28, 813.60 and 254.80 is: 381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.28 : 813.60 = 254.80 : x
  2. Step 2: Convert to fraction form
    543.28/813.60 = 254.80/x
  3. Step 3: Cross multiply
    543.28x = 813.60 × 254.80
  4. Step 4: Simplify right side
    543.28x = 207,305.28
  5. Step 5: Solve for x
    x = 207,305.28/543.28
  6. Step 6: Final answer
    x = 381.58

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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.