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Finding the Fourth Proportional to 322.80, 484.19 and 231.67

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Solution

The fourth proportional to 322.80, 484.19 and 231.67 is: 347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.80 : 484.19 = 231.67 : x
  2. Step 2: Convert to fraction form
    322.80/484.19 = 231.67/x
  3. Step 3: Cross multiply
    322.80x = 484.19 × 231.67
  4. Step 4: Simplify right side
    322.80x = 112,172.30
  5. Step 5: Solve for x
    x = 112,172.30/322.80
  6. Step 6: Final answer
    x = 347.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.