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Finding the Fourth Proportional to 450.80, 622.14 and 264.27

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Solution

The fourth proportional to 450.80, 622.14 and 264.27 is: 364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.80 : 622.14 = 264.27 : x
  2. Step 2: Convert to fraction form
    450.80/622.14 = 264.27/x
  3. Step 3: Cross multiply
    450.80x = 622.14 × 264.27
  4. Step 4: Simplify right side
    450.80x = 164,409.83
  5. Step 5: Solve for x
    x = 164,409.83/450.80
  6. Step 6: Final answer
    x = 364.71

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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.