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Finding the Fourth Proportional to 513.26, 708.30 and 286.14

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Solution

The fourth proportional to 513.26, 708.30 and 286.14 is: 394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 708.30 = 286.14 : x
  2. Step 2: Convert to fraction form
    513.26/708.30 = 286.14/x
  3. Step 3: Cross multiply
    513.26x = 708.30 × 286.14
  4. Step 4: Simplify right side
    513.26x = 202,672.96
  5. Step 5: Solve for x
    x = 202,672.96/513.26
  6. Step 6: Final answer
    x = 394.87

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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.