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Finding the Fourth Proportional to 468.67, 701.93 and 262.93

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Solution

The fourth proportional to 468.67, 701.93 and 262.93 is: 393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.67 : 701.93 = 262.93 : x
  2. Step 2: Convert to fraction form
    468.67/701.93 = 262.93/x
  3. Step 3: Cross multiply
    468.67x = 701.93 × 262.93
  4. Step 4: Simplify right side
    468.67x = 184,557.14
  5. Step 5: Solve for x
    x = 184,557.14/468.67
  6. Step 6: Final answer
    x = 393.79

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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.