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Finding the Fourth Proportional to 322.26, 484.01 and 276.09

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Solution

The fourth proportional to 322.26, 484.01 and 276.09 is: 414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.26 : 484.01 = 276.09 : x
  2. Step 2: Convert to fraction form
    322.26/484.01 = 276.09/x
  3. Step 3: Cross multiply
    322.26x = 484.01 × 276.09
  4. Step 4: Simplify right side
    322.26x = 133,631.01
  5. Step 5: Solve for x
    x = 133,631.01/322.26
  6. Step 6: Final answer
    x = 414.67

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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.