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Finding the Fourth Proportional to 543.68, 815.64 and 255.12

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Solution

The fourth proportional to 543.68, 815.64 and 255.12 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.68 : 815.64 = 255.12 : x
  2. Step 2: Convert to fraction form
    543.68/815.64 = 255.12/x
  3. Step 3: Cross multiply
    543.68x = 815.64 × 255.12
  4. Step 4: Simplify right side
    543.68x = 208,086.08
  5. Step 5: Solve for x
    x = 208,086.08/543.68
  6. Step 6: Final answer
    x = 382.74

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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.