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Finding the Fourth Proportional to 288.46, 397.92 and 214.84

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Solution

The fourth proportional to 288.46, 397.92 and 214.84 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.46 : 397.92 = 214.84 : x
  2. Step 2: Convert to fraction form
    288.46/397.92 = 214.84/x
  3. Step 3: Cross multiply
    288.46x = 397.92 × 214.84
  4. Step 4: Simplify right side
    288.46x = 85,489.13
  5. Step 5: Solve for x
    x = 85,489.13/288.46
  6. Step 6: Final answer
    x = 296.36

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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.