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Finding the Fourth Proportional to 451.96, 623.49 and 286.12

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Solution

The fourth proportional to 451.96, 623.49 and 286.12 is: 394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.96 : 623.49 = 286.12 : x
  2. Step 2: Convert to fraction form
    451.96/623.49 = 286.12/x
  3. Step 3: Cross multiply
    451.96x = 623.49 × 286.12
  4. Step 4: Simplify right side
    451.96x = 178,392.96
  5. Step 5: Solve for x
    x = 178,392.96/451.96
  6. Step 6: Final answer
    x = 394.71

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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.