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Finding the Fourth Proportional to 352.89, 486.78 and 259.88

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Solution

The fourth proportional to 352.89, 486.78 and 259.88 is: 358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.89 : 486.78 = 259.88 : x
  2. Step 2: Convert to fraction form
    352.89/486.78 = 259.88/x
  3. Step 3: Cross multiply
    352.89x = 486.78 × 259.88
  4. Step 4: Simplify right side
    352.89x = 126,500.98
  5. Step 5: Solve for x
    x = 126,500.98/352.89
  6. Step 6: Final answer
    x = 358.47

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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.