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Finding the Fourth Proportional to 451.27, 622.72 and 264.74

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Solution

The fourth proportional to 451.27, 622.72 and 264.74 is: 365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.27 : 622.72 = 264.74 : x
  2. Step 2: Convert to fraction form
    451.27/622.72 = 264.74/x
  3. Step 3: Cross multiply
    451.27x = 622.72 × 264.74
  4. Step 4: Simplify right side
    451.27x = 164,857.57
  5. Step 5: Solve for x
    x = 164,857.57/451.27
  6. Step 6: Final answer
    x = 365.32

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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.