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Finding the Fourth Proportional to 288.26, 397.35 and 214.46

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Solution

The fourth proportional to 288.26, 397.35 and 214.46 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.26 : 397.35 = 214.46 : x
  2. Step 2: Convert to fraction form
    288.26/397.35 = 214.46/x
  3. Step 3: Cross multiply
    288.26x = 397.35 × 214.46
  4. Step 4: Simplify right side
    288.26x = 85,215.68
  5. Step 5: Solve for x
    x = 85,215.68/288.26
  6. Step 6: Final answer
    x = 295.62

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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.