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Finding the Fourth Proportional to 512.55, 768.58 and 204.14

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Solution

The fourth proportional to 512.55, 768.58 and 204.14 is: 306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.55 : 768.58 = 204.14 : x
  2. Step 2: Convert to fraction form
    512.55/768.58 = 204.14/x
  3. Step 3: Cross multiply
    512.55x = 768.58 × 204.14
  4. Step 4: Simplify right side
    512.55x = 156,899.33
  5. Step 5: Solve for x
    x = 156,899.33/512.55
  6. Step 6: Final answer
    x = 306.12

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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.