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Finding the Fourth Proportional to 260.40, 357.14 and 259.44

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Solution

The fourth proportional to 260.40, 357.14 and 259.44 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.40 : 357.14 = 259.44 : x
  2. Step 2: Convert to fraction form
    260.40/357.14 = 259.44/x
  3. Step 3: Cross multiply
    260.40x = 357.14 × 259.44
  4. Step 4: Simplify right side
    260.40x = 92,656.40
  5. Step 5: Solve for x
    x = 92,656.40/260.40
  6. Step 6: Final answer
    x = 355.82

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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.