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Finding the Fourth Proportional to 411.91, 568.49 and 237.25

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Solution

The fourth proportional to 411.91, 568.49 and 237.25 is: 327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.91 : 568.49 = 237.25 : x
  2. Step 2: Convert to fraction form
    411.91/568.49 = 237.25/x
  3. Step 3: Cross multiply
    411.91x = 568.49 × 237.25
  4. Step 4: Simplify right side
    411.91x = 134,873.78
  5. Step 5: Solve for x
    x = 134,873.78/411.91
  6. Step 6: Final answer
    x = 327.44

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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.