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Finding the Fourth Proportional to 411.68, 568.25 and 237.14

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Solution

The fourth proportional to 411.68, 568.25 and 237.14 is: 327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 568.25 = 237.14 : x
  2. Step 2: Convert to fraction form
    411.68/568.25 = 237.14/x
  3. Step 3: Cross multiply
    411.68x = 568.25 × 237.14
  4. Step 4: Simplify right side
    411.68x = 134,754.81
  5. Step 5: Solve for x
    x = 134,754.81/411.68
  6. Step 6: Final answer
    x = 327.33

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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.