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Finding the Fourth Proportional to 451.40, 622.84 and 264.92

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Solution

The fourth proportional to 451.40, 622.84 and 264.92 is: 365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.40 : 622.84 = 264.92 : x
  2. Step 2: Convert to fraction form
    451.40/622.84 = 264.92/x
  3. Step 3: Cross multiply
    451.40x = 622.84 × 264.92
  4. Step 4: Simplify right side
    451.40x = 165,002.77
  5. Step 5: Solve for x
    x = 165,002.77/451.40
  6. Step 6: Final answer
    x = 365.54

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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.