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Finding the Fourth Proportional to 468.39, 701.97 and 262.86

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Solution

The fourth proportional to 468.39, 701.97 and 262.86 is: 393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.39 : 701.97 = 262.86 : x
  2. Step 2: Convert to fraction form
    468.39/701.97 = 262.86/x
  3. Step 3: Cross multiply
    468.39x = 701.97 × 262.86
  4. Step 4: Simplify right side
    468.39x = 184,519.83
  5. Step 5: Solve for x
    x = 184,519.83/468.39
  6. Step 6: Final answer
    x = 393.94

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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.