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Finding the Fourth Proportional to 513.97, 709.27 and 292.93

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Solution

The fourth proportional to 513.97, 709.27 and 292.93 is: 404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.97 : 709.27 = 292.93 : x
  2. Step 2: Convert to fraction form
    513.97/709.27 = 292.93/x
  3. Step 3: Cross multiply
    513.97x = 709.27 × 292.93
  4. Step 4: Simplify right side
    513.97x = 207,766.46
  5. Step 5: Solve for x
    x = 207,766.46/513.97
  6. Step 6: Final answer
    x = 404.24

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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.