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Finding the Fourth Proportional to 411.38, 567.70 and 236.78

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Solution

The fourth proportional to 411.38, 567.70 and 236.78 is: 326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.38 : 567.70 = 236.78 : x
  2. Step 2: Convert to fraction form
    411.38/567.70 = 236.78/x
  3. Step 3: Cross multiply
    411.38x = 567.70 × 236.78
  4. Step 4: Simplify right side
    411.38x = 134,416.58
  5. Step 5: Solve for x
    x = 134,416.58/411.38
  6. Step 6: Final answer
    x = 326.75

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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.