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Finding the Fourth Proportional to 468.91, 702.46 and 262.86

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Solution

The fourth proportional to 468.91, 702.46 and 262.86 is: 393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.91 : 702.46 = 262.86 : x
  2. Step 2: Convert to fraction form
    468.91/702.46 = 262.86/x
  3. Step 3: Cross multiply
    468.91x = 702.46 × 262.86
  4. Step 4: Simplify right side
    468.91x = 184,645.12
  5. Step 5: Solve for x
    x = 184,645.12/468.91
  6. Step 6: Final answer
    x = 393.78

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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.