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Finding the Fourth Proportional to 321.69, 443.66 and 259.59

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Solution

The fourth proportional to 321.69, 443.66 and 259.59 is: 358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.69 : 443.66 = 259.59 : x
  2. Step 2: Convert to fraction form
    321.69/443.66 = 259.59/x
  3. Step 3: Cross multiply
    321.69x = 443.66 × 259.59
  4. Step 4: Simplify right side
    321.69x = 115,168.40
  5. Step 5: Solve for x
    x = 115,168.40/321.69
  6. Step 6: Final answer
    x = 358.01

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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.