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Finding the Fourth Proportional to 805.65, 1,208.60 and 257.78

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Solution

The fourth proportional to 805.65, 1,208.60 and 257.78 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.65 : 1,208.60 = 257.78 : x
  2. Step 2: Convert to fraction form
    805.65/1,208.60 = 257.78/x
  3. Step 3: Cross multiply
    805.65x = 1,208.60 × 257.78
  4. Step 4: Simplify right side
    805.65x = 311,552.91
  5. Step 5: Solve for x
    x = 311,552.91/805.65
  6. Step 6: Final answer
    x = 386.71

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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.