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Finding the Fourth Proportional to 515.92, 712.08 and 306.22

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Solution

The fourth proportional to 515.92, 712.08 and 306.22 is: 422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.92 : 712.08 = 306.22 : x
  2. Step 2: Convert to fraction form
    515.92/712.08 = 306.22/x
  3. Step 3: Cross multiply
    515.92x = 712.08 × 306.22
  4. Step 4: Simplify right side
    515.92x = 218,053.14
  5. Step 5: Solve for x
    x = 218,053.14/515.92
  6. Step 6: Final answer
    x = 422.65

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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.