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Finding the Fourth Proportional to 295.25, 408.42 and 275.31

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Solution

The fourth proportional to 295.25, 408.42 and 275.31 is: 380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.25 : 408.42 = 275.31 : x
  2. Step 2: Convert to fraction form
    295.25/408.42 = 275.31/x
  3. Step 3: Cross multiply
    295.25x = 408.42 × 275.31
  4. Step 4: Simplify right side
    295.25x = 112,442.11
  5. Step 5: Solve for x
    x = 112,442.11/295.25
  6. Step 6: Final answer
    x = 380.84

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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.