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Finding the Fourth Proportional to 451.26, 622.81 and 264.81

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Solution

The fourth proportional to 451.26, 622.81 and 264.81 is: 365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.26 : 622.81 = 264.81 : x
  2. Step 2: Convert to fraction form
    451.26/622.81 = 264.81/x
  3. Step 3: Cross multiply
    451.26x = 622.81 × 264.81
  4. Step 4: Simplify right side
    451.26x = 164,926.55
  5. Step 5: Solve for x
    x = 164,926.55/451.26
  6. Step 6: Final answer
    x = 365.48

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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.