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Finding the Fourth Proportional to 450.89, 622.19 and 264.23

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Solution

The fourth proportional to 450.89, 622.19 and 264.23 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.89 : 622.19 = 264.23 : x
  2. Step 2: Convert to fraction form
    450.89/622.19 = 264.23/x
  3. Step 3: Cross multiply
    450.89x = 622.19 × 264.23
  4. Step 4: Simplify right side
    450.89x = 164,396.83
  5. Step 5: Solve for x
    x = 164,396.83/450.89
  6. Step 6: Final answer
    x = 364.61

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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.