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Finding the Fourth Proportional to 805.30, 1,208.03 and 257.50

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Solution

The fourth proportional to 805.30, 1,208.03 and 257.50 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.30 : 1,208.03 = 257.50 : x
  2. Step 2: Convert to fraction form
    805.30/1,208.03 = 257.50/x
  3. Step 3: Cross multiply
    805.30x = 1,208.03 × 257.50
  4. Step 4: Simplify right side
    805.30x = 311,067.73
  5. Step 5: Solve for x
    x = 311,067.73/805.30
  6. Step 6: Final answer
    x = 386.28

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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.