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Finding the Fourth Proportional to 468.05, 701.97 and 262.71

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Solution

The fourth proportional to 468.05, 701.97 and 262.71 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 701.97 = 262.71 : x
  2. Step 2: Convert to fraction form
    468.05/701.97 = 262.71/x
  3. Step 3: Cross multiply
    468.05x = 701.97 × 262.71
  4. Step 4: Simplify right side
    468.05x = 184,414.54
  5. Step 5: Solve for x
    x = 184,414.54/468.05
  6. Step 6: Final answer
    x = 394.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.