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Finding the Fourth Proportional to 498.75, 743.92 and 446.84

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Solution

The fourth proportional to 498.75, 743.92 and 446.84 is: 666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.75 : 743.92 = 446.84 : x
  2. Step 2: Convert to fraction form
    498.75/743.92 = 446.84/x
  3. Step 3: Cross multiply
    498.75x = 743.92 × 446.84
  4. Step 4: Simplify right side
    498.75x = 332,413.21
  5. Step 5: Solve for x
    x = 332,413.21/498.75
  6. Step 6: Final answer
    x = 666.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.