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Finding the Fourth Proportional to 450.70, 622.03 and 264.27

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Solution

The fourth proportional to 450.70, 622.03 and 264.27 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.70 : 622.03 = 264.27 : x
  2. Step 2: Convert to fraction form
    450.70/622.03 = 264.27/x
  3. Step 3: Cross multiply
    450.70x = 622.03 × 264.27
  4. Step 4: Simplify right side
    450.70x = 164,379.44
  5. Step 5: Solve for x
    x = 164,379.44/450.70
  6. Step 6: Final answer
    x = 364.72

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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.