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Finding the Fourth Proportional to 451.62, 623.22 and 276.96

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Solution

The fourth proportional to 451.62, 623.22 and 276.96 is: 382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 623.22 = 276.96 : x
  2. Step 2: Convert to fraction form
    451.62/623.22 = 276.96/x
  3. Step 3: Cross multiply
    451.62x = 623.22 × 276.96
  4. Step 4: Simplify right side
    451.62x = 172,607.01
  5. Step 5: Solve for x
    x = 172,607.01/451.62
  6. Step 6: Final answer
    x = 382.20

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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.