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Finding the Fourth Proportional to 295.96, 443.92 and 275.92

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Solution

The fourth proportional to 295.96, 443.92 and 275.92 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.96 : 443.92 = 275.92 : x
  2. Step 2: Convert to fraction form
    295.96/443.92 = 275.92/x
  3. Step 3: Cross multiply
    295.96x = 443.92 × 275.92
  4. Step 4: Simplify right side
    295.96x = 122,486.41
  5. Step 5: Solve for x
    x = 122,486.41/295.96
  6. Step 6: Final answer
    x = 413.86

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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.