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Finding the Fourth Proportional to 295.92, 408.96 and 252.72

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Solution

The fourth proportional to 295.92, 408.96 and 252.72 is: 349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 408.96 = 252.72 : x
  2. Step 2: Convert to fraction form
    295.92/408.96 = 252.72/x
  3. Step 3: Cross multiply
    295.92x = 408.96 × 252.72
  4. Step 4: Simplify right side
    295.92x = 103,352.37
  5. Step 5: Solve for x
    x = 103,352.37/295.92
  6. Step 6: Final answer
    x = 349.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.