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Finding the Fourth Proportional to 516.25, 712.47 and 283.42

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Solution

The fourth proportional to 516.25, 712.47 and 283.42 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 712.47 = 283.42 : x
  2. Step 2: Convert to fraction form
    516.25/712.47 = 283.42/x
  3. Step 3: Cross multiply
    516.25x = 712.47 × 283.42
  4. Step 4: Simplify right side
    516.25x = 201,928.25
  5. Step 5: Solve for x
    x = 201,928.25/516.25
  6. Step 6: Final answer
    x = 391.14

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Similar ratio
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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.