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Finding the Fourth Proportional to 543.46, 815.19 and 255.10

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Solution

The fourth proportional to 543.46, 815.19 and 255.10 is: 382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.46 : 815.19 = 255.10 : x
  2. Step 2: Convert to fraction form
    543.46/815.19 = 255.10/x
  3. Step 3: Cross multiply
    543.46x = 815.19 × 255.10
  4. Step 4: Simplify right side
    543.46x = 207,954.97
  5. Step 5: Solve for x
    x = 207,954.97/543.46
  6. Step 6: Final answer
    x = 382.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.