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Finding the Fourth Proportional to 260.64, 355.20 and 259.68

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Solution

The fourth proportional to 260.64, 355.20 and 259.68 is: 353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.64 : 355.20 = 259.68 : x
  2. Step 2: Convert to fraction form
    260.64/355.20 = 259.68/x
  3. Step 3: Cross multiply
    260.64x = 355.20 × 259.68
  4. Step 4: Simplify right side
    260.64x = 92,238.34
  5. Step 5: Solve for x
    x = 92,238.34/260.64
  6. Step 6: Final answer
    x = 353.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.