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Finding the Fourth Proportional to 349.26, 481.68 and 260.76

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Solution

The fourth proportional to 349.26, 481.68 and 260.76 is: 359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.26 : 481.68 = 260.76 : x
  2. Step 2: Convert to fraction form
    349.26/481.68 = 260.76/x
  3. Step 3: Cross multiply
    349.26x = 481.68 × 260.76
  4. Step 4: Simplify right side
    349.26x = 125,602.88
  5. Step 5: Solve for x
    x = 125,602.88/349.26
  6. Step 6: Final answer
    x = 359.63

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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.