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Finding the Fourth Proportional to 515.14, 711.22 and 459.78

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Solution

The fourth proportional to 515.14, 711.22 and 459.78 is: 634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.14 : 711.22 = 459.78 : x
  2. Step 2: Convert to fraction form
    515.14/711.22 = 459.78/x
  3. Step 3: Cross multiply
    515.14x = 711.22 × 459.78
  4. Step 4: Simplify right side
    515.14x = 327,004.73
  5. Step 5: Solve for x
    x = 327,004.73/515.14
  6. Step 6: Final answer
    x = 634.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.