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Finding the Fourth Proportional to 450.76, 622.17 and 264.32

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Solution

The fourth proportional to 450.76, 622.17 and 264.32 is: 364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.76 : 622.17 = 264.32 : x
  2. Step 2: Convert to fraction form
    450.76/622.17 = 264.32/x
  3. Step 3: Cross multiply
    450.76x = 622.17 × 264.32
  4. Step 4: Simplify right side
    450.76x = 164,451.97
  5. Step 5: Solve for x
    x = 164,451.97/450.76
  6. Step 6: Final answer
    x = 364.83

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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.