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Finding the Fourth Proportional to 260.85, 359.73 and 257.48

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Solution

The fourth proportional to 260.85, 359.73 and 257.48 is: 355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.85 : 359.73 = 257.48 : x
  2. Step 2: Convert to fraction form
    260.85/359.73 = 257.48/x
  3. Step 3: Cross multiply
    260.85x = 359.73 × 257.48
  4. Step 4: Simplify right side
    260.85x = 92,623.28
  5. Step 5: Solve for x
    x = 92,623.28/260.85
  6. Step 6: Final answer
    x = 355.08

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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.