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Finding the Fourth Proportional to 513.22, 708.26 and 292.22

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Solution

The fourth proportional to 513.22, 708.26 and 292.22 is: 403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.22 : 708.26 = 292.22 : x
  2. Step 2: Convert to fraction form
    513.22/708.26 = 292.22/x
  3. Step 3: Cross multiply
    513.22x = 708.26 × 292.22
  4. Step 4: Simplify right side
    513.22x = 206,967.74
  5. Step 5: Solve for x
    x = 206,967.74/513.22
  6. Step 6: Final answer
    x = 403.27

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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.