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Finding the Fourth Proportional to 380.28, 570.24 and 217.68

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Solution

The fourth proportional to 380.28, 570.24 and 217.68 is: 326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 570.24 = 217.68 : x
  2. Step 2: Convert to fraction form
    380.28/570.24 = 217.68/x
  3. Step 3: Cross multiply
    380.28x = 570.24 × 217.68
  4. Step 4: Simplify right side
    380.28x = 124,129.84
  5. Step 5: Solve for x
    x = 124,129.84/380.28
  6. Step 6: Final answer
    x = 326.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.