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Finding the Fourth Proportional to 513.25, 708.31 and 292.24

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Solution

The fourth proportional to 513.25, 708.31 and 292.24 is: 403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.25 : 708.31 = 292.24 : x
  2. Step 2: Convert to fraction form
    513.25/708.31 = 292.24/x
  3. Step 3: Cross multiply
    513.25x = 708.31 × 292.24
  4. Step 4: Simplify right side
    513.25x = 206,995.05
  5. Step 5: Solve for x
    x = 206,995.05/513.25
  6. Step 6: Final answer
    x = 403.30

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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.