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Finding the Fourth Proportional to 516.25, 712.43 and 283.39

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Solution

The fourth proportional to 516.25, 712.43 and 283.39 is: 391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 712.43 = 283.39 : x
  2. Step 2: Convert to fraction form
    516.25/712.43 = 283.39/x
  3. Step 3: Cross multiply
    516.25x = 712.43 × 283.39
  4. Step 4: Simplify right side
    516.25x = 201,894.12
  5. Step 5: Solve for x
    x = 201,894.12/516.25
  6. Step 6: Final answer
    x = 391.08

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Why These Related Problems?

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