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Finding the Fourth Proportional to 295.38, 444.69 and 214.79

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Solution

The fourth proportional to 295.38, 444.69 and 214.79 is: 323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.38 : 444.69 = 214.79 : x
  2. Step 2: Convert to fraction form
    295.38/444.69 = 214.79/x
  3. Step 3: Cross multiply
    295.38x = 444.69 × 214.79
  4. Step 4: Simplify right side
    295.38x = 95,512.74
  5. Step 5: Solve for x
    x = 95,512.74/295.38
  6. Step 6: Final answer
    x = 323.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.