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Finding the Fourth Proportional to 582.73, 803.27 and 517.21

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Solution

The fourth proportional to 582.73, 803.27 and 517.21 is: 712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.73 : 803.27 = 517.21 : x
  2. Step 2: Convert to fraction form
    582.73/803.27 = 517.21/x
  3. Step 3: Cross multiply
    582.73x = 803.27 × 517.21
  4. Step 4: Simplify right side
    582.73x = 415,456.69
  5. Step 5: Solve for x
    x = 415,456.69/582.73
  6. Step 6: Final answer
    x = 712.95

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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.