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Finding the Fourth Proportional to 451.20, 622.64 and 264.72

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Solution

The fourth proportional to 451.20, 622.64 and 264.72 is: 365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.20 : 622.64 = 264.72 : x
  2. Step 2: Convert to fraction form
    451.20/622.64 = 264.72/x
  3. Step 3: Cross multiply
    451.20x = 622.64 × 264.72
  4. Step 4: Simplify right side
    451.20x = 164,825.26
  5. Step 5: Solve for x
    x = 164,825.26/451.20
  6. Step 6: Final answer
    x = 365.30

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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.