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Finding the Fourth Proportional to 512.56, 768.84 and 410.05

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Solution

The fourth proportional to 512.56, 768.84 and 410.05 is: 615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.56 : 768.84 = 410.05 : x
  2. Step 2: Convert to fraction form
    512.56/768.84 = 410.05/x
  3. Step 3: Cross multiply
    512.56x = 768.84 × 410.05
  4. Step 4: Simplify right side
    512.56x = 315,262.84
  5. Step 5: Solve for x
    x = 315,262.84/512.56
  6. Step 6: Final answer
    x = 615.08

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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.