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Finding the Fourth Proportional to 468.92, 702.77 and 461.63

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Solution

The fourth proportional to 468.92, 702.77 and 461.63 is: 691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.92 : 702.77 = 461.63 : x
  2. Step 2: Convert to fraction form
    468.92/702.77 = 461.63/x
  3. Step 3: Cross multiply
    468.92x = 702.77 × 461.63
  4. Step 4: Simplify right side
    468.92x = 324,413.89
  5. Step 5: Solve for x
    x = 324,413.89/468.92
  6. Step 6: Final answer
    x = 691.84

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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.