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Finding the Fourth Proportional to 264.98, 363.26 and 260.73

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Solution

The fourth proportional to 264.98, 363.26 and 260.73 is: 357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.98 : 363.26 = 260.73 : x
  2. Step 2: Convert to fraction form
    264.98/363.26 = 260.73/x
  3. Step 3: Cross multiply
    264.98x = 363.26 × 260.73
  4. Step 4: Simplify right side
    264.98x = 94,713.43
  5. Step 5: Solve for x
    x = 94,713.43/264.98
  6. Step 6: Final answer
    x = 357.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.