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Finding the Fourth Proportional to 513.90, 709.22 and 292.92

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Solution

The fourth proportional to 513.90, 709.22 and 292.92 is: 404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.90 : 709.22 = 292.92 : x
  2. Step 2: Convert to fraction form
    513.90/709.22 = 292.92/x
  3. Step 3: Cross multiply
    513.90x = 709.22 × 292.92
  4. Step 4: Simplify right side
    513.90x = 207,744.72
  5. Step 5: Solve for x
    x = 207,744.72/513.90
  6. Step 6: Final answer
    x = 404.25

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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.