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Finding the Fourth Proportional to 379.20, 568.24 and 338.16

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Solution

The fourth proportional to 379.20, 568.24 and 338.16 is: 506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 568.24 = 338.16 : x
  2. Step 2: Convert to fraction form
    379.20/568.24 = 338.16/x
  3. Step 3: Cross multiply
    379.20x = 568.24 × 338.16
  4. Step 4: Simplify right side
    379.20x = 192,156.04
  5. Step 5: Solve for x
    x = 192,156.04/379.20
  6. Step 6: Final answer
    x = 506.74

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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.