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Finding the Fourth Proportional to 543.26, 815.00 and 254.71

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Solution

The fourth proportional to 543.26, 815.00 and 254.71 is: 382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.26 : 815.00 = 254.71 : x
  2. Step 2: Convert to fraction form
    543.26/815.00 = 254.71/x
  3. Step 3: Cross multiply
    543.26x = 815.00 × 254.71
  4. Step 4: Simplify right side
    543.26x = 207,583.30
  5. Step 5: Solve for x
    x = 207,583.30/543.26
  6. Step 6: Final answer
    x = 382.11

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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.