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Finding the Fourth Proportional to 411.94, 568.49 and 237.29

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Solution

The fourth proportional to 411.94, 568.49 and 237.29 is: 327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.94 : 568.49 = 237.29 : x
  2. Step 2: Convert to fraction form
    411.94/568.49 = 237.29/x
  3. Step 3: Cross multiply
    411.94x = 568.49 × 237.29
  4. Step 4: Simplify right side
    411.94x = 134,896.99
  5. Step 5: Solve for x
    x = 134,896.99/411.94
  6. Step 6: Final answer
    x = 327.47

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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.