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Finding the Fourth Proportional to 805.73, 1,208.65 and 258.27

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Solution

The fourth proportional to 805.73, 1,208.65 and 258.27 is: 387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.73 : 1,208.65 = 258.27 : x
  2. Step 2: Convert to fraction form
    805.73/1,208.65 = 258.27/x
  3. Step 3: Cross multiply
    805.73x = 1,208.65 × 258.27
  4. Step 4: Simplify right side
    805.73x = 312,157.39
  5. Step 5: Solve for x
    x = 312,157.39/805.73
  6. Step 6: Final answer
    x = 387.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.