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Finding the Fourth Proportional to 515.44, 773.49 and 378.82

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Solution

The fourth proportional to 515.44, 773.49 and 378.82 is: 568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.44 : 773.49 = 378.82 : x
  2. Step 2: Convert to fraction form
    515.44/773.49 = 378.82/x
  3. Step 3: Cross multiply
    515.44x = 773.49 × 378.82
  4. Step 4: Simplify right side
    515.44x = 293,009.61
  5. Step 5: Solve for x
    x = 293,009.61/515.44
  6. Step 6: Final answer
    x = 568.47

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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.