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Finding the Fourth Proportional to 451.35, 622.87 and 264.95

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Solution

The fourth proportional to 451.35, 622.87 and 264.95 is: 365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.35 : 622.87 = 264.95 : x
  2. Step 2: Convert to fraction form
    451.35/622.87 = 264.95/x
  3. Step 3: Cross multiply
    451.35x = 622.87 × 264.95
  4. Step 4: Simplify right side
    451.35x = 165,029.41
  5. Step 5: Solve for x
    x = 165,029.41/451.35
  6. Step 6: Final answer
    x = 365.64

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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.