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Finding the Fourth Proportional to 516.09, 712.20 and 283.21

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Solution

The fourth proportional to 516.09, 712.20 and 283.21 is: 390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.09 : 712.20 = 283.21 : x
  2. Step 2: Convert to fraction form
    516.09/712.20 = 283.21/x
  3. Step 3: Cross multiply
    516.09x = 712.20 × 283.21
  4. Step 4: Simplify right side
    516.09x = 201,702.16
  5. Step 5: Solve for x
    x = 201,702.16/516.09
  6. Step 6: Final answer
    x = 390.83

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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.